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Finding the Fourth Proportional to 230,856.70, 346,025.85 and 97,714.30

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Solution

The fourth proportional to 230,856.70, 346,025.85 and 97,714.30 is: 146,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,856.70 : 346,025.85 = 97,714.30 : x
  2. Step 2: Convert to fraction form
    230,856.70/346,025.85 = 97,714.30/x
  3. Step 3: Cross multiply
    230,856.70x = 346,025.85 × 97,714.30
  4. Step 4: Simplify right side
    230,856.70x = 33,811,673,714.66
  5. Step 5: Solve for x
    x = 33,811,673,714.66/230,856.70
  6. Step 6: Final answer
    x = 146,461.74

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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.