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Finding the Fourth Proportional to 195,436.80, 293,414.40 and 156,038.40

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Solution

The fourth proportional to 195,436.80, 293,414.40 and 156,038.40 is: 234,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,436.80 : 293,414.40 = 156,038.40 : x
  2. Step 2: Convert to fraction form
    195,436.80/293,414.40 = 156,038.40/x
  3. Step 3: Cross multiply
    195,436.80x = 293,414.40 × 156,038.40
  4. Step 4: Simplify right side
    195,436.80x = 45,783,913,512.96
  5. Step 5: Solve for x
    x = 45,783,913,512.96/195,436.80
  6. Step 6: Final answer
    x = 234,264.55

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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.