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Finding the Fourth Proportional to 152,213.44, 228,320.16 and 82,534

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Solution

The fourth proportional to 152,213.44, 228,320.16 and 82,534 is: 123,801.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,213.44 : 228,320.16 = 82,534 : x
  2. Step 2: Convert to fraction form
    152,213.44/228,320.16 = 82,534/x
  3. Step 3: Cross multiply
    152,213.44x = 228,320.16 × 82,534
  4. Step 4: Simplify right side
    152,213.44x = 18,844,176,085.44
  5. Step 5: Solve for x
    x = 18,844,176,085.44/152,213.44
  6. Step 6: Final answer
    x = 123,801.00

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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.