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Finding the Fourth Proportional to 276,000.76, 413,703.60 and 133,545.16

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Solution

The fourth proportional to 276,000.76, 413,703.60 and 133,545.16 is: 200,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,000.76 : 413,703.60 = 133,545.16 : x
  2. Step 2: Convert to fraction form
    276,000.76/413,703.60 = 133,545.16/x
  3. Step 3: Cross multiply
    276,000.76x = 413,703.60 × 133,545.16
  4. Step 4: Simplify right side
    276,000.76x = 55,248,113,454.58
  5. Step 5: Solve for x
    x = 55,248,113,454.58/276,000.76
  6. Step 6: Final answer
    x = 200,173.77

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1.5x scale

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.