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Finding the Fourth Proportional to 131,419.40, 197,129.10 and 32,923.40

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Solution

The fourth proportional to 131,419.40, 197,129.10 and 32,923.40 is: 49,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,419.40 : 197,129.10 = 32,923.40 : x
  2. Step 2: Convert to fraction form
    131,419.40/197,129.10 = 32,923.40/x
  3. Step 3: Cross multiply
    131,419.40x = 197,129.10 × 32,923.40
  4. Step 4: Simplify right side
    131,419.40x = 6,490,160,210.94
  5. Step 5: Solve for x
    x = 6,490,160,210.94/131,419.40
  6. Step 6: Final answer
    x = 49,385.10

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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.