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Finding the Fourth Proportional to 178,459.63, 267,332.55 and 107,343

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Solution

The fourth proportional to 178,459.63, 267,332.55 and 107,343 is: 160,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,459.63 : 267,332.55 = 107,343 : x
  2. Step 2: Convert to fraction form
    178,459.63/267,332.55 = 107,343/x
  3. Step 3: Cross multiply
    178,459.63x = 267,332.55 × 107,343
  4. Step 4: Simplify right side
    178,459.63x = 28,696,277,914.65
  5. Step 5: Solve for x
    x = 28,696,277,914.65/178,459.63
  6. Step 6: Final answer
    x = 160,799.83

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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.