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Finding the Fourth Proportional to 178,827.60, 268,241.40 and 112,314.45

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Solution

The fourth proportional to 178,827.60, 268,241.40 and 112,314.45 is: 168,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,827.60 : 268,241.40 = 112,314.45 : x
  2. Step 2: Convert to fraction form
    178,827.60/268,241.40 = 112,314.45/x
  3. Step 3: Cross multiply
    178,827.60x = 268,241.40 × 112,314.45
  4. Step 4: Simplify right side
    178,827.60x = 30,127,385,308.23
  5. Step 5: Solve for x
    x = 30,127,385,308.23/178,827.60
  6. Step 6: Final answer
    x = 168,471.68

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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.