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Finding the Fourth Proportional to 229,141.53, 343,750.37 and 96,031.80

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Solution

The fourth proportional to 229,141.53, 343,750.37 and 96,031.80 is: 144,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,141.53 : 343,750.37 = 96,031.80 : x
  2. Step 2: Convert to fraction form
    229,141.53/343,750.37 = 96,031.80/x
  3. Step 3: Cross multiply
    229,141.53x = 343,750.37 × 96,031.80
  4. Step 4: Simplify right side
    229,141.53x = 33,010,966,301.61
  5. Step 5: Solve for x
    x = 33,010,966,301.61/229,141.53
  6. Step 6: Final answer
    x = 144,063.65

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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.