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Finding the Fourth Proportional to 174,592.25, 240,966.51 and 102,989.87

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Solution

The fourth proportional to 174,592.25, 240,966.51 and 102,989.87 is: 142,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,592.25 : 240,966.51 = 102,989.87 : x
  2. Step 2: Convert to fraction form
    174,592.25/240,966.51 = 102,989.87/x
  3. Step 3: Cross multiply
    174,592.25x = 240,966.51 × 102,989.87
  4. Step 4: Simplify right side
    174,592.25x = 24,817,109,539.25
  5. Step 5: Solve for x
    x = 24,817,109,539.25/174,592.25
  6. Step 6: Final answer
    x = 142,143.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.