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Finding the Fourth Proportional to 229,348.92, 343,672.56 and 96,156.48

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Solution

The fourth proportional to 229,348.92, 343,672.56 and 96,156.48 is: 144,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,348.92 : 343,672.56 = 96,156.48 : x
  2. Step 2: Convert to fraction form
    229,348.92/343,672.56 = 96,156.48/x
  3. Step 3: Cross multiply
    229,348.92x = 343,672.56 × 96,156.48
  4. Step 4: Simplify right side
    229,348.92x = 33,046,343,642.19
  5. Step 5: Solve for x
    x = 33,046,343,642.19/229,348.92
  6. Step 6: Final answer
    x = 144,087.64

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1.5x scale

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.