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Finding the Fourth Proportional to 181,405.86, 271,807.47 and 63,013.02

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Solution

The fourth proportional to 181,405.86, 271,807.47 and 63,013.02 is: 94,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,405.86 : 271,807.47 = 63,013.02 : x
  2. Step 2: Convert to fraction form
    181,405.86/271,807.47 = 63,013.02/x
  3. Step 3: Cross multiply
    181,405.86x = 271,807.47 × 63,013.02
  4. Step 4: Simplify right side
    181,405.86x = 17,127,409,543.26
  5. Step 5: Solve for x
    x = 17,127,409,543.26/181,405.86
  6. Step 6: Final answer
    x = 94,414.86

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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.