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Finding the Fourth Proportional to 355,071.80, 532,154.10 and 144,471.80

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Solution

The fourth proportional to 355,071.80, 532,154.10 and 144,471.80 is: 216,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,071.80 : 532,154.10 = 144,471.80 : x
  2. Step 2: Convert to fraction form
    355,071.80/532,154.10 = 144,471.80/x
  3. Step 3: Cross multiply
    355,071.80x = 532,154.10 × 144,471.80
  4. Step 4: Simplify right side
    355,071.80x = 76,881,260,704.38
  5. Step 5: Solve for x
    x = 76,881,260,704.38/355,071.80
  6. Step 6: Final answer
    x = 216,523.14

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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.