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Finding the Fourth Proportional to 131,294.40, 197,038.80 and 86,906.40

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Solution

The fourth proportional to 131,294.40, 197,038.80 and 86,906.40 is: 130,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,294.40 : 197,038.80 = 86,906.40 : x
  2. Step 2: Convert to fraction form
    131,294.40/197,038.80 = 86,906.40/x
  3. Step 3: Cross multiply
    131,294.40x = 197,038.80 × 86,906.40
  4. Step 4: Simplify right side
    131,294.40x = 17,123,932,768.32
  5. Step 5: Solve for x
    x = 17,123,932,768.32/131,294.40
  6. Step 6: Final answer
    x = 130,423.94

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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.