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Finding the Fourth Proportional to 181,742.90, 272,594.91 and 63,416.48

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Solution

The fourth proportional to 181,742.90, 272,594.91 and 63,416.48 is: 95,117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,742.90 : 272,594.91 = 63,416.48 : x
  2. Step 2: Convert to fraction form
    181,742.90/272,594.91 = 63,416.48/x
  3. Step 3: Cross multiply
    181,742.90x = 272,594.91 × 63,416.48
  4. Step 4: Simplify right side
    181,742.90x = 17,287,009,658.12
  5. Step 5: Solve for x
    x = 17,287,009,658.12/181,742.90
  6. Step 6: Final answer
    x = 95,117.94

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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.