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Finding the Fourth Proportional to 145,186.80, 200,343.84 and 81,510

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Solution

The fourth proportional to 145,186.80, 200,343.84 and 81,510 is: 112,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,186.80 : 200,343.84 = 81,510 : x
  2. Step 2: Convert to fraction form
    145,186.80/200,343.84 = 81,510/x
  3. Step 3: Cross multiply
    145,186.80x = 200,343.84 × 81,510
  4. Step 4: Simplify right side
    145,186.80x = 16,330,026,398.40
  5. Step 5: Solve for x
    x = 16,330,026,398.40/145,186.80
  6. Step 6: Final answer
    x = 112,475.97

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Why These Related Problems?

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