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Finding the Fourth Proportional to 509,087.52, 763,641 and 154,100.16

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Solution

The fourth proportional to 509,087.52, 763,641 and 154,100.16 is: 231,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,087.52 : 763,641 = 154,100.16 : x
  2. Step 2: Convert to fraction form
    509,087.52/763,641 = 154,100.16/x
  3. Step 3: Cross multiply
    509,087.52x = 763,641 × 154,100.16
  4. Step 4: Simplify right side
    509,087.52x = 117,677,200,282.56
  5. Step 5: Solve for x
    x = 117,677,200,282.56/509,087.52
  6. Step 6: Final answer
    x = 231,153.18

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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.