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Finding the Fourth Proportional to 222,980.61, 307,728.42 and 126,184.53

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Solution

The fourth proportional to 222,980.61, 307,728.42 and 126,184.53 is: 174,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,980.61 : 307,728.42 = 126,184.53 : x
  2. Step 2: Convert to fraction form
    222,980.61/307,728.42 = 126,184.53/x
  3. Step 3: Cross multiply
    222,980.61x = 307,728.42 × 126,184.53
  4. Step 4: Simplify right side
    222,980.61x = 38,830,566,726.13
  5. Step 5: Solve for x
    x = 38,830,566,726.13/222,980.61
  6. Step 6: Final answer
    x = 174,143.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.