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Finding the Fourth Proportional to 277,511.72, 382,966.02 and 156,654.05

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Solution

The fourth proportional to 277,511.72, 382,966.02 and 156,654.05 is: 216,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,511.72 : 382,966.02 = 156,654.05 : x
  2. Step 2: Convert to fraction form
    277,511.72/382,966.02 = 156,654.05/x
  3. Step 3: Cross multiply
    277,511.72x = 382,966.02 × 156,654.05
  4. Step 4: Simplify right side
    277,511.72x = 59,993,176,304.70
  5. Step 5: Solve for x
    x = 59,993,176,304.70/277,511.72
  6. Step 6: Final answer
    x = 216,182.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.