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Finding the Fourth Proportional to 118,166.86, 177,329.12 and 61,293.18

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Solution

The fourth proportional to 118,166.86, 177,329.12 and 61,293.18 is: 91,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,166.86 : 177,329.12 = 61,293.18 : x
  2. Step 2: Convert to fraction form
    118,166.86/177,329.12 = 61,293.18/x
  3. Step 3: Cross multiply
    118,166.86x = 177,329.12 × 61,293.18
  4. Step 4: Simplify right side
    118,166.86x = 10,869,065,671.40
  5. Step 5: Solve for x
    x = 10,869,065,671.40/118,166.86
  6. Step 6: Final answer
    x = 91,980.66

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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.