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Finding the Fourth Proportional to 97,701.80, 146,771.40 and 93,983.90

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Solution

The fourth proportional to 97,701.80, 146,771.40 and 93,983.90 is: 141,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,701.80 : 146,771.40 = 93,983.90 : x
  2. Step 2: Convert to fraction form
    97,701.80/146,771.40 = 93,983.90/x
  3. Step 3: Cross multiply
    97,701.80x = 146,771.40 × 93,983.90
  4. Step 4: Simplify right side
    97,701.80x = 13,794,148,580.46
  5. Step 5: Solve for x
    x = 13,794,148,580.46/97,701.80
  6. Step 6: Final answer
    x = 141,186.23

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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.