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Finding the Fourth Proportional to 102,023.80, 153,035.70 and 95,414.20

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Solution

The fourth proportional to 102,023.80, 153,035.70 and 95,414.20 is: 143,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,023.80 : 153,035.70 = 95,414.20 : x
  2. Step 2: Convert to fraction form
    102,023.80/153,035.70 = 95,414.20/x
  3. Step 3: Cross multiply
    102,023.80x = 153,035.70 × 95,414.20
  4. Step 4: Simplify right side
    102,023.80x = 14,601,778,886.94
  5. Step 5: Solve for x
    x = 14,601,778,886.94/102,023.80
  6. Step 6: Final answer
    x = 143,121.30

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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.