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Finding the Fourth Proportional to 131,494, 181,461.72 and 71,878

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Solution

The fourth proportional to 131,494, 181,461.72 and 71,878 is: 99,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,494 : 181,461.72 = 71,878 : x
  2. Step 2: Convert to fraction form
    131,494/181,461.72 = 71,878/x
  3. Step 3: Cross multiply
    131,494x = 181,461.72 × 71,878
  4. Step 4: Simplify right side
    131,494x = 13,043,105,510.16
  5. Step 5: Solve for x
    x = 13,043,105,510.16/131,494
  6. Step 6: Final answer
    x = 99,191.64

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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.