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Finding the Fourth Proportional to 230,898.30, 346,347.45 and 64,664.70

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Solution

The fourth proportional to 230,898.30, 346,347.45 and 64,664.70 is: 96,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,898.30 : 346,347.45 = 64,664.70 : x
  2. Step 2: Convert to fraction form
    230,898.30/346,347.45 = 64,664.70/x
  3. Step 3: Cross multiply
    230,898.30x = 346,347.45 × 64,664.70
  4. Step 4: Simplify right side
    230,898.30x = 22,396,453,950.02
  5. Step 5: Solve for x
    x = 22,396,453,950.02/230,898.30
  6. Step 6: Final answer
    x = 96,997.05

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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.