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Finding the Fourth Proportional to 233,508.64, 322,249.82 and 138,097.12

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Solution

The fourth proportional to 233,508.64, 322,249.82 and 138,097.12 is: 190,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,508.64 : 322,249.82 = 138,097.12 : x
  2. Step 2: Convert to fraction form
    233,508.64/322,249.82 = 138,097.12/x
  3. Step 3: Cross multiply
    233,508.64x = 322,249.82 × 138,097.12
  4. Step 4: Simplify right side
    233,508.64x = 44,501,772,062.52
  5. Step 5: Solve for x
    x = 44,501,772,062.52/233,508.64
  6. Step 6: Final answer
    x = 190,578.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.