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Finding the Fourth Proportional to 178,114.71, 245,796.45 and 96,441.56

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Solution

The fourth proportional to 178,114.71, 245,796.45 and 96,441.56 is: 133,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,114.71 : 245,796.45 = 96,441.56 : x
  2. Step 2: Convert to fraction form
    178,114.71/245,796.45 = 96,441.56/x
  3. Step 3: Cross multiply
    178,114.71x = 245,796.45 × 96,441.56
  4. Step 4: Simplify right side
    178,114.71x = 23,704,993,080.46
  5. Step 5: Solve for x
    x = 23,704,993,080.46/178,114.71
  6. Step 6: Final answer
    x = 133,088.35

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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.