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Finding the Fourth Proportional to 256,389.90, 353,811.15 and 140,098.74

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Solution

The fourth proportional to 256,389.90, 353,811.15 and 140,098.74 is: 193,332.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,389.90 : 353,811.15 = 140,098.74 : x
  2. Step 2: Convert to fraction form
    256,389.90/353,811.15 = 140,098.74/x
  3. Step 3: Cross multiply
    256,389.90x = 353,811.15 × 140,098.74
  4. Step 4: Simplify right side
    256,389.90x = 49,568,496,312.95
  5. Step 5: Solve for x
    x = 49,568,496,312.95/256,389.90
  6. Step 6: Final answer
    x = 193,332.48

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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.