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Finding the Fourth Proportional to 118,678.90, 177,966.42 and 35,553.46

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Solution

The fourth proportional to 118,678.90, 177,966.42 and 35,553.46 is: 53,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,678.90 : 177,966.42 = 35,553.46 : x
  2. Step 2: Convert to fraction form
    118,678.90/177,966.42 = 35,553.46/x
  3. Step 3: Cross multiply
    118,678.90x = 177,966.42 × 35,553.46
  4. Step 4: Simplify right side
    118,678.90x = 6,327,321,994.81
  5. Step 5: Solve for x
    x = 6,327,321,994.81/118,678.90
  6. Step 6: Final answer
    x = 53,314.63

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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.