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Finding the Fourth Proportional to 174,266.34, 261,443.25 and 85,561.62

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Solution

The fourth proportional to 174,266.34, 261,443.25 and 85,561.62 is: 128,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,266.34 : 261,443.25 = 85,561.62 : x
  2. Step 2: Convert to fraction form
    174,266.34/261,443.25 = 85,561.62/x
  3. Step 3: Cross multiply
    174,266.34x = 261,443.25 × 85,561.62
  4. Step 4: Simplify right side
    174,266.34x = 22,369,508,008.07
  5. Step 5: Solve for x
    x = 22,369,508,008.07/174,266.34
  6. Step 6: Final answer
    x = 128,363.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.