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Finding the Fourth Proportional to 98,251.62, 147,289.86 and 45,632.40

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Solution

The fourth proportional to 98,251.62, 147,289.86 and 45,632.40 is: 68,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,251.62 : 147,289.86 = 45,632.40 : x
  2. Step 2: Convert to fraction form
    98,251.62/147,289.86 = 45,632.40/x
  3. Step 3: Cross multiply
    98,251.62x = 147,289.86 × 45,632.40
  4. Step 4: Simplify right side
    98,251.62x = 6,721,189,807.46
  5. Step 5: Solve for x
    x = 6,721,189,807.46/98,251.62
  6. Step 6: Final answer
    x = 68,407.93

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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.