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Finding the Fourth Proportional to 230,145.60, 345,352.32 and 97,017.60

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Solution

The fourth proportional to 230,145.60, 345,352.32 and 97,017.60 is: 145,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,145.60 : 345,352.32 = 97,017.60 : x
  2. Step 2: Convert to fraction form
    230,145.60/345,352.32 = 97,017.60/x
  3. Step 3: Cross multiply
    230,145.60x = 345,352.32 × 97,017.60
  4. Step 4: Simplify right side
    230,145.60x = 33,505,253,240.83
  5. Step 5: Solve for x
    x = 33,505,253,240.83/230,145.60
  6. Step 6: Final answer
    x = 145,582.85

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1.5x scale

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.