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Finding the Fourth Proportional to 564,093.22, 846,125.88 and 137,632

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Solution

The fourth proportional to 564,093.22, 846,125.88 and 137,632 is: 206,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,093.22 : 846,125.88 = 137,632 : x
  2. Step 2: Convert to fraction form
    564,093.22/846,125.88 = 137,632/x
  3. Step 3: Cross multiply
    564,093.22x = 846,125.88 × 137,632
  4. Step 4: Simplify right side
    564,093.22x = 116,453,997,116.16
  5. Step 5: Solve for x
    x = 116,453,997,116.16/564,093.22
  6. Step 6: Final answer
    x = 206,444.60

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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.