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Finding the Fourth Proportional to 185,781.78, 256,394.66 and 105,223.64

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Solution

The fourth proportional to 185,781.78, 256,394.66 and 105,223.64 is: 145,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,781.78 : 256,394.66 = 105,223.64 : x
  2. Step 2: Convert to fraction form
    185,781.78/256,394.66 = 105,223.64/x
  3. Step 3: Cross multiply
    185,781.78x = 256,394.66 × 105,223.64
  4. Step 4: Simplify right side
    185,781.78x = 26,978,779,401.76
  5. Step 5: Solve for x
    x = 26,978,779,401.76/185,781.78
  6. Step 6: Final answer
    x = 145,217.57

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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.