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Finding the Fourth Proportional to 153,312.71, 229,885.68 and 53,446.10

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Solution

The fourth proportional to 153,312.71, 229,885.68 and 53,446.10 is: 80,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,312.71 : 229,885.68 = 53,446.10 : x
  2. Step 2: Convert to fraction form
    153,312.71/229,885.68 = 53,446.10/x
  3. Step 3: Cross multiply
    153,312.71x = 229,885.68 × 53,446.10
  4. Step 4: Simplify right side
    153,312.71x = 12,286,493,041.85
  5. Step 5: Solve for x
    x = 12,286,493,041.85/153,312.71
  6. Step 6: Final answer
    x = 80,140.08

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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.