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Finding the Fourth Proportional to 98,101.70, 147,152.55 and 24,229.70

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Solution

The fourth proportional to 98,101.70, 147,152.55 and 24,229.70 is: 36,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,101.70 : 147,152.55 = 24,229.70 : x
  2. Step 2: Convert to fraction form
    98,101.70/147,152.55 = 24,229.70/x
  3. Step 3: Cross multiply
    98,101.70x = 147,152.55 × 24,229.70
  4. Step 4: Simplify right side
    98,101.70x = 3,565,462,140.74
  5. Step 5: Solve for x
    x = 3,565,462,140.74/98,101.70
  6. Step 6: Final answer
    x = 36,344.55

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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.