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Finding the Fourth Proportional to 130,084, 179,515.92 and 70,468

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Solution

The fourth proportional to 130,084, 179,515.92 and 70,468 is: 97,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,084 : 179,515.92 = 70,468 : x
  2. Step 2: Convert to fraction form
    130,084/179,515.92 = 70,468/x
  3. Step 3: Cross multiply
    130,084x = 179,515.92 × 70,468
  4. Step 4: Simplify right side
    130,084x = 12,650,127,850.56
  5. Step 5: Solve for x
    x = 12,650,127,850.56/130,084
  6. Step 6: Final answer
    x = 97,245.84

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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.