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Finding the Fourth Proportional to 258,097.96, 387,257.82 and 133,526.44

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Solution

The fourth proportional to 258,097.96, 387,257.82 and 133,526.44 is: 200,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,097.96 : 387,257.82 = 133,526.44 : x
  2. Step 2: Convert to fraction form
    258,097.96/387,257.82 = 133,526.44/x
  3. Step 3: Cross multiply
    258,097.96x = 387,257.82 × 133,526.44
  4. Step 4: Simplify right side
    258,097.96x = 51,709,158,066.76
  5. Step 5: Solve for x
    x = 51,709,158,066.76/258,097.96
  6. Step 6: Final answer
    x = 200,347.02

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1.5x scale

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.