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Finding the Fourth Proportional to 152,720.84, 227,841.12 and 144,453.98

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Solution

The fourth proportional to 152,720.84, 227,841.12 and 144,453.98 is: 215,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,720.84 : 227,841.12 = 144,453.98 : x
  2. Step 2: Convert to fraction form
    152,720.84/227,841.12 = 144,453.98/x
  3. Step 3: Cross multiply
    152,720.84x = 227,841.12 × 144,453.98
  4. Step 4: Simplify right side
    152,720.84x = 32,912,557,161.26
  5. Step 5: Solve for x
    x = 32,912,557,161.26/152,720.84
  6. Step 6: Final answer
    x = 215,507.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.