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Finding the Fourth Proportional to 142,034.40, 213,051.60 and 89,503.20

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Solution

The fourth proportional to 142,034.40, 213,051.60 and 89,503.20 is: 134,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034.40 : 213,051.60 = 89,503.20 : x
  2. Step 2: Convert to fraction form
    142,034.40/213,051.60 = 89,503.20/x
  3. Step 3: Cross multiply
    142,034.40x = 213,051.60 × 89,503.20
  4. Step 4: Simplify right side
    142,034.40x = 19,068,799,965.12
  5. Step 5: Solve for x
    x = 19,068,799,965.12/142,034.40
  6. Step 6: Final answer
    x = 134,254.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.