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Finding the Fourth Proportional to 118,126, 177,218.16 and 35,020

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Solution

The fourth proportional to 118,126, 177,218.16 and 35,020 is: 52,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,126 : 177,218.16 = 35,020 : x
  2. Step 2: Convert to fraction form
    118,126/177,218.16 = 35,020/x
  3. Step 3: Cross multiply
    118,126x = 177,218.16 × 35,020
  4. Step 4: Simplify right side
    118,126x = 6,206,179,963.20
  5. Step 5: Solve for x
    x = 6,206,179,963.20/118,126
  6. Step 6: Final answer
    x = 52,538.64

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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.