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Finding the Fourth Proportional to 90,598.74, 135,836.16 and 46,139.46

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Solution

The fourth proportional to 90,598.74, 135,836.16 and 46,139.46 is: 69,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,598.74 : 135,836.16 = 46,139.46 : x
  2. Step 2: Convert to fraction form
    90,598.74/135,836.16 = 46,139.46/x
  3. Step 3: Cross multiply
    90,598.74x = 135,836.16 × 46,139.46
  4. Step 4: Simplify right side
    90,598.74x = 6,267,407,070.87
  5. Step 5: Solve for x
    x = 6,267,407,070.87/90,598.74
  6. Step 6: Final answer
    x = 69,177.64

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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.