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Finding the Fourth Proportional to 181,681.81, 272,566.34 and 57,022.81

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Solution

The fourth proportional to 181,681.81, 272,566.34 and 57,022.81 is: 85,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,681.81 : 272,566.34 = 57,022.81 : x
  2. Step 2: Convert to fraction form
    181,681.81/272,566.34 = 57,022.81/x
  3. Step 3: Cross multiply
    181,681.81x = 272,566.34 × 57,022.81
  4. Step 4: Simplify right side
    181,681.81x = 15,542,498,333.10
  5. Step 5: Solve for x
    x = 15,542,498,333.10/181,681.81
  6. Step 6: Final answer
    x = 85,547.91

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Why These Related Problems?

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