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Finding the Fourth Proportional to 233,509.44, 322,250.94 and 138,097.92

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Solution

The fourth proportional to 233,509.44, 322,250.94 and 138,097.92 is: 190,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,509.44 : 322,250.94 = 138,097.92 : x
  2. Step 2: Convert to fraction form
    233,509.44/322,250.94 = 138,097.92/x
  3. Step 3: Cross multiply
    233,509.44x = 322,250.94 × 138,097.92
  4. Step 4: Simplify right side
    233,509.44x = 44,502,184,532.04
  5. Step 5: Solve for x
    x = 44,502,184,532.04/233,509.44
  6. Step 6: Final answer
    x = 190,579.81

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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.