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Finding the Fourth Proportional to 178,193.92, 245,346.56 and 151,283.20

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Solution

The fourth proportional to 178,193.92, 245,346.56 and 151,283.20 is: 208,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,193.92 : 245,346.56 = 151,283.20 : x
  2. Step 2: Convert to fraction form
    178,193.92/245,346.56 = 151,283.20/x
  3. Step 3: Cross multiply
    178,193.92x = 245,346.56 × 151,283.20
  4. Step 4: Simplify right side
    178,193.92x = 37,116,812,705.79
  5. Step 5: Solve for x
    x = 37,116,812,705.79/178,193.92
  6. Step 6: Final answer
    x = 208,294.50

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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.