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Finding the Fourth Proportional to 206,893.32, 310,308.39 and 98,795.04

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Solution

The fourth proportional to 206,893.32, 310,308.39 and 98,795.04 is: 148,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,893.32 : 310,308.39 = 98,795.04 : x
  2. Step 2: Convert to fraction form
    206,893.32/310,308.39 = 98,795.04/x
  3. Step 3: Cross multiply
    206,893.32x = 310,308.39 × 98,795.04
  4. Step 4: Simplify right side
    206,893.32x = 30,656,929,802.39
  5. Step 5: Solve for x
    x = 30,656,929,802.39/206,893.32
  6. Step 6: Final answer
    x = 148,177.48

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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.