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Finding the Fourth Proportional to 233,505.63, 322,245.68 and 138,094.11

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Solution

The fourth proportional to 233,505.63, 322,245.68 and 138,094.11 is: 190,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,505.63 : 322,245.68 = 138,094.11 : x
  2. Step 2: Convert to fraction form
    233,505.63/322,245.68 = 138,094.11/x
  3. Step 3: Cross multiply
    233,505.63x = 322,245.68 × 138,094.11
  4. Step 4: Simplify right side
    233,505.63x = 44,500,229,690.47
  5. Step 5: Solve for x
    x = 44,500,229,690.47/233,505.63
  6. Step 6: Final answer
    x = 190,574.55

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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.