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Finding the Fourth Proportional to 145,832.38, 218,770.44 and 52,360

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Solution

The fourth proportional to 145,832.38, 218,770.44 and 52,360 is: 78,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,832.38 : 218,770.44 = 52,360 : x
  2. Step 2: Convert to fraction form
    145,832.38/218,770.44 = 52,360/x
  3. Step 3: Cross multiply
    145,832.38x = 218,770.44 × 52,360
  4. Step 4: Simplify right side
    145,832.38x = 11,454,820,238.40
  5. Step 5: Solve for x
    x = 11,454,820,238.40/145,832.38
  6. Step 6: Final answer
    x = 78,547.85

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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.