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Finding the Fourth Proportional to 229,018.86, 316,030.05 and 132,226.56

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Solution

The fourth proportional to 229,018.86, 316,030.05 and 132,226.56 is: 182,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,018.86 : 316,030.05 = 132,226.56 : x
  2. Step 2: Convert to fraction form
    229,018.86/316,030.05 = 132,226.56/x
  3. Step 3: Cross multiply
    229,018.86x = 316,030.05 × 132,226.56
  4. Step 4: Simplify right side
    229,018.86x = 41,787,566,368.13
  5. Step 5: Solve for x
    x = 41,787,566,368.13/229,018.86
  6. Step 6: Final answer
    x = 182,463.43

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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.