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Finding the Fourth Proportional to 157,684.69, 236,527.02 and 57,807.13

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Solution

The fourth proportional to 157,684.69, 236,527.02 and 57,807.13 is: 86,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,684.69 : 236,527.02 = 57,807.13 : x
  2. Step 2: Convert to fraction form
    157,684.69/236,527.02 = 57,807.13/x
  3. Step 3: Cross multiply
    157,684.69x = 236,527.02 × 57,807.13
  4. Step 4: Simplify right side
    157,684.69x = 13,672,948,193.65
  5. Step 5: Solve for x
    x = 13,672,948,193.65/157,684.69
  6. Step 6: Final answer
    x = 86,710.69

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