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Finding the Fourth Proportional to 107,102.80, 147,793.16 and 59,358.16

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Solution

The fourth proportional to 107,102.80, 147,793.16 and 59,358.16 is: 81,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,102.80 : 147,793.16 = 59,358.16 : x
  2. Step 2: Convert to fraction form
    107,102.80/147,793.16 = 59,358.16/x
  3. Step 3: Cross multiply
    107,102.80x = 147,793.16 × 59,358.16
  4. Step 4: Simplify right side
    107,102.80x = 8,772,730,038.19
  5. Step 5: Solve for x
    x = 8,772,730,038.19/107,102.80
  6. Step 6: Final answer
    x = 81,909.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.