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Finding the Fourth Proportional to 193,989.76, 291,055.71 and 81,698.24

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Solution

The fourth proportional to 193,989.76, 291,055.71 and 81,698.24 is: 122,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,989.76 : 291,055.71 = 81,698.24 : x
  2. Step 2: Convert to fraction form
    193,989.76/291,055.71 = 81,698.24/x
  3. Step 3: Cross multiply
    193,989.76x = 291,055.71 × 81,698.24
  4. Step 4: Simplify right side
    193,989.76x = 23,778,739,248.95
  5. Step 5: Solve for x
    x = 23,778,739,248.95/193,989.76
  6. Step 6: Final answer
    x = 122,577.29

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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.