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Finding the Fourth Proportional to 229,077.68, 316,005.14 and 133,549.52

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Solution

The fourth proportional to 229,077.68, 316,005.14 and 133,549.52 is: 184,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,077.68 : 316,005.14 = 133,549.52 : x
  2. Step 2: Convert to fraction form
    229,077.68/316,005.14 = 133,549.52/x
  3. Step 3: Cross multiply
    229,077.68x = 316,005.14 × 133,549.52
  4. Step 4: Simplify right side
    229,077.68x = 42,202,334,764.53
  5. Step 5: Solve for x
    x = 42,202,334,764.53/229,077.68
  6. Step 6: Final answer
    x = 184,227.18

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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.