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Finding the Fourth Proportional to 176,551.53, 243,635.94 and 100,077.68

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Solution

The fourth proportional to 176,551.53, 243,635.94 and 100,077.68 is: 138,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,551.53 : 243,635.94 = 100,077.68 : x
  2. Step 2: Convert to fraction form
    176,551.53/243,635.94 = 100,077.68/x
  3. Step 3: Cross multiply
    176,551.53x = 243,635.94 × 100,077.68
  4. Step 4: Simplify right side
    176,551.53x = 24,382,518,421.64
  5. Step 5: Solve for x
    x = 24,382,518,421.64/176,551.53
  6. Step 6: Final answer
    x = 138,104.26

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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.