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Finding the Fourth Proportional to 146,580.38, 202,285.90 and 86,150.16

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Solution

The fourth proportional to 146,580.38, 202,285.90 and 86,150.16 is: 118,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,580.38 : 202,285.90 = 86,150.16 : x
  2. Step 2: Convert to fraction form
    146,580.38/202,285.90 = 86,150.16/x
  3. Step 3: Cross multiply
    146,580.38x = 202,285.90 × 86,150.16
  4. Step 4: Simplify right side
    146,580.38x = 17,426,962,650.74
  5. Step 5: Solve for x
    x = 17,426,962,650.74/146,580.38
  6. Step 6: Final answer
    x = 118,890.15

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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.