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Finding the Fourth Proportional to 97,881.80, 146,822.70 and 70,233.80

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Solution

The fourth proportional to 97,881.80, 146,822.70 and 70,233.80 is: 105,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,881.80 : 146,822.70 = 70,233.80 : x
  2. Step 2: Convert to fraction form
    97,881.80/146,822.70 = 70,233.80/x
  3. Step 3: Cross multiply
    97,881.80x = 146,822.70 × 70,233.80
  4. Step 4: Simplify right side
    97,881.80x = 10,311,916,147.26
  5. Step 5: Solve for x
    x = 10,311,916,147.26/97,881.80
  6. Step 6: Final answer
    x = 105,350.70

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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.