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Finding the Fourth Proportional to 232,797.95, 349,639.74 and 144,667.32

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Solution

The fourth proportional to 232,797.95, 349,639.74 and 144,667.32 is: 217,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,797.95 : 349,639.74 = 144,667.32 : x
  2. Step 2: Convert to fraction form
    232,797.95/349,639.74 = 144,667.32/x
  3. Step 3: Cross multiply
    232,797.95x = 349,639.74 × 144,667.32
  4. Step 4: Simplify right side
    232,797.95x = 50,581,442,840.15
  5. Step 5: Solve for x
    x = 50,581,442,840.15/232,797.95
  6. Step 6: Final answer
    x = 217,276.15

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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.