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Finding the Fourth Proportional to 153,924.05, 230,910.38 and 65,178.11

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Solution

The fourth proportional to 153,924.05, 230,910.38 and 65,178.11 is: 97,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,924.05 : 230,910.38 = 65,178.11 : x
  2. Step 2: Convert to fraction form
    153,924.05/230,910.38 = 65,178.11/x
  3. Step 3: Cross multiply
    153,924.05x = 230,910.38 × 65,178.11
  4. Step 4: Simplify right side
    153,924.05x = 15,050,301,821.89
  5. Step 5: Solve for x
    x = 15,050,301,821.89/153,924.05
  6. Step 6: Final answer
    x = 97,777.45

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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.