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Finding the Fourth Proportional to 98,358.94, 147,686.03 and 56,286.53

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Solution

The fourth proportional to 98,358.94, 147,686.03 and 56,286.53 is: 84,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,358.94 : 147,686.03 = 56,286.53 : x
  2. Step 2: Convert to fraction form
    98,358.94/147,686.03 = 56,286.53/x
  3. Step 3: Cross multiply
    98,358.94x = 147,686.03 × 56,286.53
  4. Step 4: Simplify right side
    98,358.94x = 8,312,733,138.31
  5. Step 5: Solve for x
    x = 8,312,733,138.31/98,358.94
  6. Step 6: Final answer
    x = 84,514.27

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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.