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Finding the Fourth Proportional to 176,505.76, 243,585.20 and 100,024.05

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Solution

The fourth proportional to 176,505.76, 243,585.20 and 100,024.05 is: 138,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,505.76 : 243,585.20 = 100,024.05 : x
  2. Step 2: Convert to fraction form
    176,505.76/243,585.20 = 100,024.05/x
  3. Step 3: Cross multiply
    176,505.76x = 243,585.20 × 100,024.05
  4. Step 4: Simplify right side
    176,505.76x = 24,364,377,256.71
  5. Step 5: Solve for x
    x = 24,364,377,256.71/176,505.76
  6. Step 6: Final answer
    x = 138,037.29

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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.