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Finding the Fourth Proportional to 229,646.80, 344,536.08 and 96,458.56

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Solution

The fourth proportional to 229,646.80, 344,536.08 and 96,458.56 is: 144,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,646.80 : 344,536.08 = 96,458.56 : x
  2. Step 2: Convert to fraction form
    229,646.80/344,536.08 = 96,458.56/x
  3. Step 3: Cross multiply
    229,646.80x = 344,536.08 × 96,458.56
  4. Step 4: Simplify right side
    229,646.80x = 33,233,454,144.84
  5. Step 5: Solve for x
    x = 33,233,454,144.84/229,646.80
  6. Step 6: Final answer
    x = 144,715.51

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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.