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Finding the Fourth Proportional to 133,468.70, 200,041.05 and 77,200.70

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Solution

The fourth proportional to 133,468.70, 200,041.05 and 77,200.70 is: 115,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,468.70 : 200,041.05 = 77,200.70 : x
  2. Step 2: Convert to fraction form
    133,468.70/200,041.05 = 77,200.70/x
  3. Step 3: Cross multiply
    133,468.70x = 200,041.05 × 77,200.70
  4. Step 4: Simplify right side
    133,468.70x = 15,443,309,088.74
  5. Step 5: Solve for x
    x = 15,443,309,088.74/133,468.70
  6. Step 6: Final answer
    x = 115,707.35

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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.