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Finding the Fourth Proportional to 242,580.26, 363,853.32 and 90,748.37

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Solution

The fourth proportional to 242,580.26, 363,853.32 and 90,748.37 is: 136,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,580.26 : 363,853.32 = 90,748.37 : x
  2. Step 2: Convert to fraction form
    242,580.26/363,853.32 = 90,748.37/x
  3. Step 3: Cross multiply
    242,580.26x = 363,853.32 × 90,748.37
  4. Step 4: Simplify right side
    242,580.26x = 33,019,095,709.09
  5. Step 5: Solve for x
    x = 33,019,095,709.09/242,580.26
  6. Step 6: Final answer
    x = 136,116.17

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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.