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Finding the Fourth Proportional to 176,380.92, 243,393.12 and 99,907.74

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Solution

The fourth proportional to 176,380.92, 243,393.12 and 99,907.74 is: 137,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,380.92 : 243,393.12 = 99,907.74 : x
  2. Step 2: Convert to fraction form
    176,380.92/243,393.12 = 99,907.74/x
  3. Step 3: Cross multiply
    176,380.92x = 243,393.12 × 99,907.74
  4. Step 4: Simplify right side
    176,380.92x = 24,316,856,550.75
  5. Step 5: Solve for x
    x = 24,316,856,550.75/176,380.92
  6. Step 6: Final answer
    x = 137,865.57

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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.