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Finding the Fourth Proportional to 276,323.16, 381,324.06 and 157,091.16

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Solution

The fourth proportional to 276,323.16, 381,324.06 and 157,091.16 is: 216,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,323.16 : 381,324.06 = 157,091.16 : x
  2. Step 2: Convert to fraction form
    276,323.16/381,324.06 = 157,091.16/x
  3. Step 3: Cross multiply
    276,323.16x = 381,324.06 × 157,091.16
  4. Step 4: Simplify right side
    276,323.16x = 59,902,638,921.31
  5. Step 5: Solve for x
    x = 59,902,638,921.31/276,323.16
  6. Step 6: Final answer
    x = 216,784.72

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1.5x scale

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.