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Finding the Fourth Proportional to 175,516, 242,251.04 and 121,144.48

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Solution

The fourth proportional to 175,516, 242,251.04 and 121,144.48 is: 167,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,516 : 242,251.04 = 121,144.48 : x
  2. Step 2: Convert to fraction form
    175,516/242,251.04 = 121,144.48/x
  3. Step 3: Cross multiply
    175,516x = 242,251.04 × 121,144.48
  4. Step 4: Simplify right side
    175,516x = 29,347,376,270.26
  5. Step 5: Solve for x
    x = 29,347,376,270.26/175,516
  6. Step 6: Final answer
    x = 167,206.27

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