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Finding the Fourth Proportional to 229,056.65, 316,113.12 and 132,264.58

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Solution

The fourth proportional to 229,056.65, 316,113.12 and 132,264.58 is: 182,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,056.65 : 316,113.12 = 132,264.58 : x
  2. Step 2: Convert to fraction form
    229,056.65/316,113.12 = 132,264.58/x
  3. Step 3: Cross multiply
    229,056.65x = 316,113.12 × 132,264.58
  4. Step 4: Simplify right side
    229,056.65x = 41,810,569,049.29
  5. Step 5: Solve for x
    x = 41,810,569,049.29/229,056.65
  6. Step 6: Final answer
    x = 182,533.75

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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.