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Finding the Fourth Proportional to 96,301.60, 144,493.76 and 37,178.79

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Solution

The fourth proportional to 96,301.60, 144,493.76 and 37,178.79 is: 55,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,301.60 : 144,493.76 = 37,178.79 : x
  2. Step 2: Convert to fraction form
    96,301.60/144,493.76 = 37,178.79/x
  3. Step 3: Cross multiply
    96,301.60x = 144,493.76 × 37,178.79
  4. Step 4: Simplify right side
    96,301.60x = 5,372,102,973.46
  5. Step 5: Solve for x
    x = 5,372,102,973.46/96,301.60
  6. Step 6: Final answer
    x = 55,784.15

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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.