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Finding the Fourth Proportional to 98,055.96, 147,098.52 and 45,470.76

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Solution

The fourth proportional to 98,055.96, 147,098.52 and 45,470.76 is: 68,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,055.96 : 147,098.52 = 45,470.76 : x
  2. Step 2: Convert to fraction form
    98,055.96/147,098.52 = 45,470.76/x
  3. Step 3: Cross multiply
    98,055.96x = 147,098.52 × 45,470.76
  4. Step 4: Simplify right side
    98,055.96x = 6,688,681,499.28
  5. Step 5: Solve for x
    x = 6,688,681,499.28/98,055.96
  6. Step 6: Final answer
    x = 68,212.90

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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.