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Finding the Fourth Proportional to 178,200.54, 245,916.66 and 106,580.56

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Solution

The fourth proportional to 178,200.54, 245,916.66 and 106,580.56 is: 147,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,200.54 : 245,916.66 = 106,580.56 : x
  2. Step 2: Convert to fraction form
    178,200.54/245,916.66 = 106,580.56/x
  3. Step 3: Cross multiply
    178,200.54x = 245,916.66 × 106,580.56
  4. Step 4: Simplify right side
    178,200.54x = 26,209,935,336.13
  5. Step 5: Solve for x
    x = 26,209,935,336.13/178,200.54
  6. Step 6: Final answer
    x = 147,081.12

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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.