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Finding the Fourth Proportional to 564,108.48, 846,151.80 and 137,647.08

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Solution

The fourth proportional to 564,108.48, 846,151.80 and 137,647.08 is: 206,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,108.48 : 846,151.80 = 137,647.08 : x
  2. Step 2: Convert to fraction form
    564,108.48/846,151.80 = 137,647.08/x
  3. Step 3: Cross multiply
    564,108.48x = 846,151.80 × 137,647.08
  4. Step 4: Simplify right side
    564,108.48x = 116,470,324,506.74
  5. Step 5: Solve for x
    x = 116,470,324,506.74/564,108.48
  6. Step 6: Final answer
    x = 206,467.96

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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.