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Finding the Fourth Proportional to 131,320, 181,222.08 and 71,704

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Solution

The fourth proportional to 131,320, 181,222.08 and 71,704 is: 98,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,320 : 181,222.08 = 71,704 : x
  2. Step 2: Convert to fraction form
    131,320/181,222.08 = 71,704/x
  3. Step 3: Cross multiply
    131,320x = 181,222.08 × 71,704
  4. Step 4: Simplify right side
    131,320x = 12,994,348,024.32
  5. Step 5: Solve for x
    x = 12,994,348,024.32/131,320
  6. Step 6: Final answer
    x = 98,951.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.