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Finding the Fourth Proportional to 141,407.84, 195,143.54 and 77,749.73

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Solution

The fourth proportional to 141,407.84, 195,143.54 and 77,749.73 is: 107,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,407.84 : 195,143.54 = 77,749.73 : x
  2. Step 2: Convert to fraction form
    141,407.84/195,143.54 = 77,749.73/x
  3. Step 3: Cross multiply
    141,407.84x = 195,143.54 × 77,749.73
  4. Step 4: Simplify right side
    141,407.84x = 15,172,356,181.78
  5. Step 5: Solve for x
    x = 15,172,356,181.78/141,407.84
  6. Step 6: Final answer
    x = 107,295.02

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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.