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Finding the Fourth Proportional to 261,412.54, 360,748.28 and 146,690.91

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Solution

The fourth proportional to 261,412.54, 360,748.28 and 146,690.91 is: 202,432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,412.54 : 360,748.28 = 146,690.91 : x
  2. Step 2: Convert to fraction form
    261,412.54/360,748.28 = 146,690.91/x
  3. Step 3: Cross multiply
    261,412.54x = 360,748.28 × 146,690.91
  4. Step 4: Simplify right side
    261,412.54x = 52,918,491,838.81
  5. Step 5: Solve for x
    x = 52,918,491,838.81/261,412.54
  6. Step 6: Final answer
    x = 202,432.88

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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.