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Finding the Fourth Proportional to 229,254.02, 343,770.42 and 96,098.52

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Solution

The fourth proportional to 229,254.02, 343,770.42 and 96,098.52 is: 144,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,254.02 : 343,770.42 = 96,098.52 : x
  2. Step 2: Convert to fraction form
    229,254.02/343,770.42 = 96,098.52/x
  3. Step 3: Cross multiply
    229,254.02x = 343,770.42 × 96,098.52
  4. Step 4: Simplify right side
    229,254.02x = 33,035,828,581.78
  5. Step 5: Solve for x
    x = 33,035,828,581.78/229,254.02
  6. Step 6: Final answer
    x = 144,101.41

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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.