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Finding the Fourth Proportional to 176,123.60, 263,724.60 and 167,829.20

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Solution

The fourth proportional to 176,123.60, 263,724.60 and 167,829.20 is: 251,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,123.60 : 263,724.60 = 167,829.20 : x
  2. Step 2: Convert to fraction form
    176,123.60/263,724.60 = 167,829.20/x
  3. Step 3: Cross multiply
    176,123.60x = 263,724.60 × 167,829.20
  4. Step 4: Simplify right side
    176,123.60x = 44,260,688,638.32
  5. Step 5: Solve for x
    x = 44,260,688,638.32/176,123.60
  6. Step 6: Final answer
    x = 251,304.70

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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.