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Finding the Fourth Proportional to 178,124.64, 245,812.32 and 96,453.78

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Solution

The fourth proportional to 178,124.64, 245,812.32 and 96,453.78 is: 133,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,124.64 : 245,812.32 = 96,453.78 : x
  2. Step 2: Convert to fraction form
    178,124.64/245,812.32 = 96,453.78/x
  3. Step 3: Cross multiply
    178,124.64x = 245,812.32 × 96,453.78
  4. Step 4: Simplify right side
    178,124.64x = 23,709,527,434.57
  5. Step 5: Solve for x
    x = 23,709,527,434.57/178,124.64
  6. Step 6: Final answer
    x = 133,106.39

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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.