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Finding the Fourth Proportional to 145,042.29, 200,161.81 and 81,384.80

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Solution

The fourth proportional to 145,042.29, 200,161.81 and 81,384.80 is: 112,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,042.29 : 200,161.81 = 81,384.80 : x
  2. Step 2: Convert to fraction form
    145,042.29/200,161.81 = 81,384.80/x
  3. Step 3: Cross multiply
    145,042.29x = 200,161.81 × 81,384.80
  4. Step 4: Simplify right side
    145,042.29x = 16,290,127,670.22
  5. Step 5: Solve for x
    x = 16,290,127,670.22/145,042.29
  6. Step 6: Final answer
    x = 112,312.95

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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.