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Finding the Fourth Proportional to 78,200.93, 117,308.30 and 22,041.51

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Solution

The fourth proportional to 78,200.93, 117,308.30 and 22,041.51 is: 33,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.93 : 117,308.30 = 22,041.51 : x
  2. Step 2: Convert to fraction form
    78,200.93/117,308.30 = 22,041.51/x
  3. Step 3: Cross multiply
    78,200.93x = 117,308.30 × 22,041.51
  4. Step 4: Simplify right side
    78,200.93x = 2,585,651,957.33
  5. Step 5: Solve for x
    x = 2,585,651,957.33/78,200.93
  6. Step 6: Final answer
    x = 33,064.21

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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.