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Finding the Fourth Proportional to 292,701.92, 439,019.34 and 76,581.52

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Solution

The fourth proportional to 292,701.92, 439,019.34 and 76,581.52 is: 114,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,701.92 : 439,019.34 = 76,581.52 : x
  2. Step 2: Convert to fraction form
    292,701.92/439,019.34 = 76,581.52/x
  3. Step 3: Cross multiply
    292,701.92x = 439,019.34 × 76,581.52
  4. Step 4: Simplify right side
    292,701.92x = 33,620,768,628.19
  5. Step 5: Solve for x
    x = 33,620,768,628.19/292,701.92
  6. Step 6: Final answer
    x = 114,863.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.