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Finding the Fourth Proportional to 177,671.61, 245,179.85 and 97,100.10

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Solution

The fourth proportional to 177,671.61, 245,179.85 and 97,100.10 is: 133,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,671.61 : 245,179.85 = 97,100.10 : x
  2. Step 2: Convert to fraction form
    177,671.61/245,179.85 = 97,100.10/x
  3. Step 3: Cross multiply
    177,671.61x = 245,179.85 × 97,100.10
  4. Step 4: Simplify right side
    177,671.61x = 23,806,987,467.48
  5. Step 5: Solve for x
    x = 23,806,987,467.48/177,671.61
  6. Step 6: Final answer
    x = 133,994.33

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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.