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Finding the Fourth Proportional to 213,042.68, 319,564.02 and 72,802.52

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Solution

The fourth proportional to 213,042.68, 319,564.02 and 72,802.52 is: 109,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,042.68 : 319,564.02 = 72,802.52 : x
  2. Step 2: Convert to fraction form
    213,042.68/319,564.02 = 72,802.52/x
  3. Step 3: Cross multiply
    213,042.68x = 319,564.02 × 72,802.52
  4. Step 4: Simplify right side
    213,042.68x = 23,265,065,957.33
  5. Step 5: Solve for x
    x = 23,265,065,957.33/213,042.68
  6. Step 6: Final answer
    x = 109,203.78

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