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Finding the Fourth Proportional to 247,257.69, 371,038.82 and 97,472.49

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Solution

The fourth proportional to 247,257.69, 371,038.82 and 97,472.49 is: 146,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,257.69 : 371,038.82 = 97,472.49 : x
  2. Step 2: Convert to fraction form
    247,257.69/371,038.82 = 97,472.49/x
  3. Step 3: Cross multiply
    247,257.69x = 371,038.82 × 97,472.49
  4. Step 4: Simplify right side
    247,257.69x = 36,166,077,184.70
  5. Step 5: Solve for x
    x = 36,166,077,184.70/247,257.69
  6. Step 6: Final answer
    x = 146,268.77

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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.