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Finding the Fourth Proportional to 97,708.70, 146,563.05 and 85,655.90

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Solution

The fourth proportional to 97,708.70, 146,563.05 and 85,655.90 is: 128,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,708.70 : 146,563.05 = 85,655.90 : x
  2. Step 2: Convert to fraction form
    97,708.70/146,563.05 = 85,655.90/x
  3. Step 3: Cross multiply
    97,708.70x = 146,563.05 × 85,655.90
  4. Step 4: Simplify right side
    97,708.70x = 12,553,989,954.50
  5. Step 5: Solve for x
    x = 12,553,989,954.50/97,708.70
  6. Step 6: Final answer
    x = 128,483.85

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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.