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Finding the Fourth Proportional to 98,053.96, 147,095.52 and 45,468.76

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Solution

The fourth proportional to 98,053.96, 147,095.52 and 45,468.76 is: 68,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,053.96 : 147,095.52 = 45,468.76 : x
  2. Step 2: Convert to fraction form
    98,053.96/147,095.52 = 45,468.76/x
  3. Step 3: Cross multiply
    98,053.96x = 147,095.52 × 45,468.76
  4. Step 4: Simplify right side
    98,053.96x = 6,688,250,895.96
  5. Step 5: Solve for x
    x = 6,688,250,895.96/98,053.96
  6. Step 6: Final answer
    x = 68,209.90

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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.