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Finding the Fourth Proportional to 145,600.50, 200,948.13 and 95,328.66

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Solution

The fourth proportional to 145,600.50, 200,948.13 and 95,328.66 is: 131,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,600.50 : 200,948.13 = 95,328.66 : x
  2. Step 2: Convert to fraction form
    145,600.50/200,948.13 = 95,328.66/x
  3. Step 3: Cross multiply
    145,600.50x = 200,948.13 × 95,328.66
  4. Step 4: Simplify right side
    145,600.50x = 19,156,115,962.41
  5. Step 5: Solve for x
    x = 19,156,115,962.41/145,600.50
  6. Step 6: Final answer
    x = 131,566.28

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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.