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Finding the Fourth Proportional to 259,116.76, 388,675.14 and 148,231

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Solution

The fourth proportional to 259,116.76, 388,675.14 and 148,231 is: 222,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,116.76 : 388,675.14 = 148,231 : x
  2. Step 2: Convert to fraction form
    259,116.76/388,675.14 = 148,231/x
  3. Step 3: Cross multiply
    259,116.76x = 388,675.14 × 148,231
  4. Step 4: Simplify right side
    259,116.76x = 57,613,704,677.34
  5. Step 5: Solve for x
    x = 57,613,704,677.34/259,116.76
  6. Step 6: Final answer
    x = 222,346.50

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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.