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Finding the Fourth Proportional to 130,500.16, 180,102.85 and 73,149.21

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Solution

The fourth proportional to 130,500.16, 180,102.85 and 73,149.21 is: 100,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,500.16 : 180,102.85 = 73,149.21 : x
  2. Step 2: Convert to fraction form
    130,500.16/180,102.85 = 73,149.21/x
  3. Step 3: Cross multiply
    130,500.16x = 180,102.85 × 73,149.21
  4. Step 4: Simplify right side
    130,500.16x = 13,174,381,013.38
  5. Step 5: Solve for x
    x = 13,174,381,013.38/130,500.16
  6. Step 6: Final answer
    x = 100,952.99

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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.