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Finding the Fourth Proportional to 106,024.68, 158,980.32 and 55,978.20

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Solution

The fourth proportional to 106,024.68, 158,980.32 and 55,978.20 is: 83,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,024.68 : 158,980.32 = 55,978.20 : x
  2. Step 2: Convert to fraction form
    106,024.68/158,980.32 = 55,978.20/x
  3. Step 3: Cross multiply
    106,024.68x = 158,980.32 × 55,978.20
  4. Step 4: Simplify right side
    106,024.68x = 8,899,432,149.02
  5. Step 5: Solve for x
    x = 8,899,432,149.02/106,024.68
  6. Step 6: Final answer
    x = 83,937.36

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1.5x scale

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.