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Finding the Fourth Proportional to 230,952.48, 346,465.20 and 97,833.60

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Solution

The fourth proportional to 230,952.48, 346,465.20 and 97,833.60 is: 146,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,952.48 : 346,465.20 = 97,833.60 : x
  2. Step 2: Convert to fraction form
    230,952.48/346,465.20 = 97,833.60/x
  3. Step 3: Cross multiply
    230,952.48x = 346,465.20 × 97,833.60
  4. Step 4: Simplify right side
    230,952.48x = 33,895,937,790.72
  5. Step 5: Solve for x
    x = 33,895,937,790.72/230,952.48
  6. Step 6: Final answer
    x = 146,765.85

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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.