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Finding the Fourth Proportional to 232,246.30, 348,041.40 and 143,235.40

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Solution

The fourth proportional to 232,246.30, 348,041.40 and 143,235.40 is: 214,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,246.30 : 348,041.40 = 143,235.40 : x
  2. Step 2: Convert to fraction form
    232,246.30/348,041.40 = 143,235.40/x
  3. Step 3: Cross multiply
    232,246.30x = 348,041.40 × 143,235.40
  4. Step 4: Simplify right side
    232,246.30x = 49,851,849,145.56
  5. Step 5: Solve for x
    x = 49,851,849,145.56/232,246.30
  6. Step 6: Final answer
    x = 214,650.78

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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.