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Finding the Fourth Proportional to 564,102.48, 846,142.80 and 137,641.08

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Solution

The fourth proportional to 564,102.48, 846,142.80 and 137,641.08 is: 206,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,102.48 : 846,142.80 = 137,641.08 : x
  2. Step 2: Convert to fraction form
    564,102.48/846,142.80 = 137,641.08/x
  3. Step 3: Cross multiply
    564,102.48x = 846,142.80 × 137,641.08
  4. Step 4: Simplify right side
    564,102.48x = 116,464,008,826.22
  5. Step 5: Solve for x
    x = 116,464,008,826.22/564,102.48
  6. Step 6: Final answer
    x = 206,458.96

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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.