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Finding the Fourth Proportional to 475,088.52, 712,632.78 and 120,102.54

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Solution

The fourth proportional to 475,088.52, 712,632.78 and 120,102.54 is: 180,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,088.52 : 712,632.78 = 120,102.54 : x
  2. Step 2: Convert to fraction form
    475,088.52/712,632.78 = 120,102.54/x
  3. Step 3: Cross multiply
    475,088.52x = 712,632.78 × 120,102.54
  4. Step 4: Simplify right side
    475,088.52x = 85,589,006,965.26
  5. Step 5: Solve for x
    x = 85,589,006,965.26/475,088.52
  6. Step 6: Final answer
    x = 180,153.81

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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.