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Finding the Fourth Proportional to 102,001.80, 153,035.10 and 45,820.20

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Solution

The fourth proportional to 102,001.80, 153,035.10 and 45,820.20 is: 68,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,001.80 : 153,035.10 = 45,820.20 : x
  2. Step 2: Convert to fraction form
    102,001.80/153,035.10 = 45,820.20/x
  3. Step 3: Cross multiply
    102,001.80x = 153,035.10 × 45,820.20
  4. Step 4: Simplify right side
    102,001.80x = 7,012,098,889.02
  5. Step 5: Solve for x
    x = 7,012,098,889.02/102,001.80
  6. Step 6: Final answer
    x = 68,744.85

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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.