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Finding the Fourth Proportional to 97,740.70, 146,611.05 and 96,703.90

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Solution

The fourth proportional to 97,740.70, 146,611.05 and 96,703.90 is: 145,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,740.70 : 146,611.05 = 96,703.90 : x
  2. Step 2: Convert to fraction form
    97,740.70/146,611.05 = 96,703.90/x
  3. Step 3: Cross multiply
    97,740.70x = 146,611.05 × 96,703.90
  4. Step 4: Simplify right side
    97,740.70x = 14,177,860,318.10
  5. Step 5: Solve for x
    x = 14,177,860,318.10/97,740.70
  6. Step 6: Final answer
    x = 145,055.85

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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.