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Finding the Fourth Proportional to 185,948.46, 256,609.62 and 101,065.32

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Solution

The fourth proportional to 185,948.46, 256,609.62 and 101,065.32 is: 139,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,948.46 : 256,609.62 = 101,065.32 : x
  2. Step 2: Convert to fraction form
    185,948.46/256,609.62 = 101,065.32/x
  3. Step 3: Cross multiply
    185,948.46x = 256,609.62 × 101,065.32
  4. Step 4: Simplify right side
    185,948.46x = 25,934,333,360.38
  5. Step 5: Solve for x
    x = 25,934,333,360.38/185,948.46
  6. Step 6: Final answer
    x = 139,470.55

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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.