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Finding the Fourth Proportional to 177,026.40, 265,539.60 and 106,869.60

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Solution

The fourth proportional to 177,026.40, 265,539.60 and 106,869.60 is: 160,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,026.40 : 265,539.60 = 106,869.60 : x
  2. Step 2: Convert to fraction form
    177,026.40/265,539.60 = 106,869.60/x
  3. Step 3: Cross multiply
    177,026.40x = 265,539.60 × 106,869.60
  4. Step 4: Simplify right side
    177,026.40x = 28,378,110,836.16
  5. Step 5: Solve for x
    x = 28,378,110,836.16/177,026.40
  6. Step 6: Final answer
    x = 160,304.40

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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.