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Finding the Fourth Proportional to 176,416.92, 243,437.76 and 99,920.76

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Solution

The fourth proportional to 176,416.92, 243,437.76 and 99,920.76 is: 137,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,416.92 : 243,437.76 = 99,920.76 : x
  2. Step 2: Convert to fraction form
    176,416.92/243,437.76 = 99,920.76/x
  3. Step 3: Cross multiply
    176,416.92x = 243,437.76 × 99,920.76
  4. Step 4: Simplify right side
    176,416.92x = 24,324,485,991.90
  5. Step 5: Solve for x
    x = 24,324,485,991.90/176,416.92
  6. Step 6: Final answer
    x = 137,880.69

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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.