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Finding the Fourth Proportional to 180,178.40, 269,898.56 and 101,126.64

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Solution

The fourth proportional to 180,178.40, 269,898.56 and 101,126.64 is: 151,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,178.40 : 269,898.56 = 101,126.64 : x
  2. Step 2: Convert to fraction form
    180,178.40/269,898.56 = 101,126.64/x
  3. Step 3: Cross multiply
    180,178.40x = 269,898.56 × 101,126.64
  4. Step 4: Simplify right side
    180,178.40x = 27,293,934,513.64
  5. Step 5: Solve for x
    x = 27,293,934,513.64/180,178.40
  6. Step 6: Final answer
    x = 151,482.83

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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.