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Finding the Fourth Proportional to 219,089.80, 328,764.30 and 78,830.20

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Solution

The fourth proportional to 219,089.80, 328,764.30 and 78,830.20 is: 118,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,089.80 : 328,764.30 = 78,830.20 : x
  2. Step 2: Convert to fraction form
    219,089.80/328,764.30 = 78,830.20/x
  3. Step 3: Cross multiply
    219,089.80x = 328,764.30 × 78,830.20
  4. Step 4: Simplify right side
    219,089.80x = 25,916,555,521.86
  5. Step 5: Solve for x
    x = 25,916,555,521.86/219,089.80
  6. Step 6: Final answer
    x = 118,291.93

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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.