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Finding the Fourth Proportional to 146,578.38, 202,283.13 and 86,148.15

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Solution

The fourth proportional to 146,578.38, 202,283.13 and 86,148.15 is: 118,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,578.38 : 202,283.13 = 86,148.15 : x
  2. Step 2: Convert to fraction form
    146,578.38/202,283.13 = 86,148.15/x
  3. Step 3: Cross multiply
    146,578.38x = 202,283.13 × 86,148.15
  4. Step 4: Simplify right side
    146,578.38x = 17,426,317,425.71
  5. Step 5: Solve for x
    x = 17,426,317,425.71/146,578.38
  6. Step 6: Final answer
    x = 118,887.37

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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.