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Finding the Fourth Proportional to 102,000.60, 152,964.45 and 35,442.90

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Solution

The fourth proportional to 102,000.60, 152,964.45 and 35,442.90 is: 53,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000.60 : 152,964.45 = 35,442.90 : x
  2. Step 2: Convert to fraction form
    102,000.60/152,964.45 = 35,442.90/x
  3. Step 3: Cross multiply
    102,000.60x = 152,964.45 × 35,442.90
  4. Step 4: Simplify right side
    102,000.60x = 5,421,503,704.91
  5. Step 5: Solve for x
    x = 5,421,503,704.91/102,000.60
  6. Step 6: Final answer
    x = 53,151.68

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1.5x scale

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.