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Finding the Fourth Proportional to 219,314.92, 328,829.82 and 86,208.20

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Solution

The fourth proportional to 219,314.92, 328,829.82 and 86,208.20 is: 129,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,314.92 : 328,829.82 = 86,208.20 : x
  2. Step 2: Convert to fraction form
    219,314.92/328,829.82 = 86,208.20/x
  3. Step 3: Cross multiply
    219,314.92x = 328,829.82 × 86,208.20
  4. Step 4: Simplify right side
    219,314.92x = 28,347,826,888.52
  5. Step 5: Solve for x
    x = 28,347,826,888.52/219,314.92
  6. Step 6: Final answer
    x = 129,256.26

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1.5x scale

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.