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Finding the Fourth Proportional to 256,904.74, 385,092.24 and 107,232.13

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Solution

The fourth proportional to 256,904.74, 385,092.24 and 107,232.13 is: 160,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,904.74 : 385,092.24 = 107,232.13 : x
  2. Step 2: Convert to fraction form
    256,904.74/385,092.24 = 107,232.13/x
  3. Step 3: Cross multiply
    256,904.74x = 385,092.24 × 107,232.13
  4. Step 4: Simplify right side
    256,904.74x = 41,294,261,141.67
  5. Step 5: Solve for x
    x = 41,294,261,141.67/256,904.74
  6. Step 6: Final answer
    x = 160,737.64

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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.