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Finding the Fourth Proportional to 288,179.39, 432,269.08 and 147,848.51

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Solution

The fourth proportional to 288,179.39, 432,269.08 and 147,848.51 is: 221,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,179.39 : 432,269.08 = 147,848.51 : x
  2. Step 2: Convert to fraction form
    288,179.39/432,269.08 = 147,848.51/x
  3. Step 3: Cross multiply
    288,179.39x = 432,269.08 × 147,848.51
  4. Step 4: Simplify right side
    288,179.39x = 63,910,339,397.07
  5. Step 5: Solve for x
    x = 63,910,339,397.07/288,179.39
  6. Step 6: Final answer
    x = 221,772.76

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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.