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Finding the Fourth Proportional to 174,902.64, 260,989.89 and 156,053.13

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Solution

The fourth proportional to 174,902.64, 260,989.89 and 156,053.13 is: 232,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,902.64 : 260,989.89 = 156,053.13 : x
  2. Step 2: Convert to fraction form
    174,902.64/260,989.89 = 156,053.13/x
  3. Step 3: Cross multiply
    174,902.64x = 260,989.89 × 156,053.13
  4. Step 4: Simplify right side
    174,902.64x = 40,728,289,232.86
  5. Step 5: Solve for x
    x = 40,728,289,232.86/174,902.64
  6. Step 6: Final answer
    x = 232,862.63

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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.