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Finding the Fourth Proportional to 230,761.40, 346,142.10 and 97,607.12

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Solution

The fourth proportional to 230,761.40, 346,142.10 and 97,607.12 is: 146,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,761.40 : 346,142.10 = 97,607.12 : x
  2. Step 2: Convert to fraction form
    230,761.40/346,142.10 = 97,607.12/x
  3. Step 3: Cross multiply
    230,761.40x = 346,142.10 × 97,607.12
  4. Step 4: Simplify right side
    230,761.40x = 33,785,933,491.75
  5. Step 5: Solve for x
    x = 33,785,933,491.75/230,761.40
  6. Step 6: Final answer
    x = 146,410.68

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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.