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Finding the Fourth Proportional to 233,187.48, 349,695.42 and 83,387.16

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Solution

The fourth proportional to 233,187.48, 349,695.42 and 83,387.16 is: 125,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.48 : 349,695.42 = 83,387.16 : x
  2. Step 2: Convert to fraction form
    233,187.48/349,695.42 = 83,387.16/x
  3. Step 3: Cross multiply
    233,187.48x = 349,695.42 × 83,387.16
  4. Step 4: Simplify right side
    233,187.48x = 29,160,107,938.81
  5. Step 5: Solve for x
    x = 29,160,107,938.81/233,187.48
  6. Step 6: Final answer
    x = 125,050.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.