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Finding the Fourth Proportional to 256,122.18, 353,494.86 and 152,763

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Solution

The fourth proportional to 256,122.18, 353,494.86 and 152,763 is: 210,840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,122.18 : 353,494.86 = 152,763 : x
  2. Step 2: Convert to fraction form
    256,122.18/353,494.86 = 152,763/x
  3. Step 3: Cross multiply
    256,122.18x = 353,494.86 × 152,763
  4. Step 4: Simplify right side
    256,122.18x = 54,000,935,298.18
  5. Step 5: Solve for x
    x = 54,000,935,298.18/256,122.18
  6. Step 6: Final answer
    x = 210,840.53

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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.