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Finding the Fourth Proportional to 92,213.64, 127,257.36 and 56,403

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Solution

The fourth proportional to 92,213.64, 127,257.36 and 56,403 is: 77,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,213.64 : 127,257.36 = 56,403 : x
  2. Step 2: Convert to fraction form
    92,213.64/127,257.36 = 56,403/x
  3. Step 3: Cross multiply
    92,213.64x = 127,257.36 × 56,403
  4. Step 4: Simplify right side
    92,213.64x = 7,177,696,876.08
  5. Step 5: Solve for x
    x = 7,177,696,876.08/92,213.64
  6. Step 6: Final answer
    x = 77,837.69

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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.