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Finding the Fourth Proportional to 195,365.49, 291,743.25 and 166,989.15

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Solution

The fourth proportional to 195,365.49, 291,743.25 and 166,989.15 is: 249,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,365.49 : 291,743.25 = 166,989.15 : x
  2. Step 2: Convert to fraction form
    195,365.49/291,743.25 = 166,989.15/x
  3. Step 3: Cross multiply
    195,365.49x = 291,743.25 × 166,989.15
  4. Step 4: Simplify right side
    195,365.49x = 48,717,957,335.74
  5. Step 5: Solve for x
    x = 48,717,957,335.74/195,365.49
  6. Step 6: Final answer
    x = 249,368.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.