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Finding the Fourth Proportional to 243,154.88, 335,570.64 and 135,746

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Solution

The fourth proportional to 243,154.88, 335,570.64 and 135,746 is: 187,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,154.88 : 335,570.64 = 135,746 : x
  2. Step 2: Convert to fraction form
    243,154.88/335,570.64 = 135,746/x
  3. Step 3: Cross multiply
    243,154.88x = 335,570.64 × 135,746
  4. Step 4: Simplify right side
    243,154.88x = 45,552,372,097.44
  5. Step 5: Solve for x
    x = 45,552,372,097.44/243,154.88
  6. Step 6: Final answer
    x = 187,338.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.