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Finding the Fourth Proportional to 256,605.47, 354,101.25 and 141,877.22

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Solution

The fourth proportional to 256,605.47, 354,101.25 and 141,877.22 is: 195,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,605.47 : 354,101.25 = 141,877.22 : x
  2. Step 2: Convert to fraction form
    256,605.47/354,101.25 = 141,877.22/x
  3. Step 3: Cross multiply
    256,605.47x = 354,101.25 × 141,877.22
  4. Step 4: Simplify right side
    256,605.47x = 50,238,901,402.61
  5. Step 5: Solve for x
    x = 50,238,901,402.61/256,605.47
  6. Step 6: Final answer
    x = 195,782.66

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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.