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Finding the Fourth Proportional to 205,116.90, 307,529.55 and 78,708.30

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Solution

The fourth proportional to 205,116.90, 307,529.55 and 78,708.30 is: 118,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,116.90 : 307,529.55 = 78,708.30 : x
  2. Step 2: Convert to fraction form
    205,116.90/307,529.55 = 78,708.30/x
  3. Step 3: Cross multiply
    205,116.90x = 307,529.55 × 78,708.30
  4. Step 4: Simplify right side
    205,116.90x = 24,205,128,080.27
  5. Step 5: Solve for x
    x = 24,205,128,080.27/205,116.90
  6. Step 6: Final answer
    x = 118,006.50

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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.