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Finding the Fourth Proportional to 130,801, 180,569.38 and 87,765.10

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Solution

The fourth proportional to 130,801, 180,569.38 and 87,765.10 is: 121,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,801 : 180,569.38 = 87,765.10 : x
  2. Step 2: Convert to fraction form
    130,801/180,569.38 = 87,765.10/x
  3. Step 3: Cross multiply
    130,801x = 180,569.38 × 87,765.10
  4. Step 4: Simplify right side
    130,801x = 15,847,689,692.64
  5. Step 5: Solve for x
    x = 15,847,689,692.64/130,801
  6. Step 6: Final answer
    x = 121,158.78

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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.