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Finding the Fourth Proportional to 181,702.54, 272,565.36 and 57,048.46

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Solution

The fourth proportional to 181,702.54, 272,565.36 and 57,048.46 is: 85,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,702.54 : 272,565.36 = 57,048.46 : x
  2. Step 2: Convert to fraction form
    181,702.54/272,565.36 = 57,048.46/x
  3. Step 3: Cross multiply
    181,702.54x = 272,565.36 × 57,048.46
  4. Step 4: Simplify right side
    181,702.54x = 15,549,434,037.35
  5. Step 5: Solve for x
    x = 15,549,434,037.35/181,702.54
  6. Step 6: Final answer
    x = 85,576.32

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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.