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Finding the Fourth Proportional to 118,547.49, 177,914.64 and 52,033.53

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Solution

The fourth proportional to 118,547.49, 177,914.64 and 52,033.53 is: 78,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,547.49 : 177,914.64 = 52,033.53 : x
  2. Step 2: Convert to fraction form
    118,547.49/177,914.64 = 52,033.53/x
  3. Step 3: Cross multiply
    118,547.49x = 177,914.64 × 52,033.53
  4. Step 4: Simplify right side
    118,547.49x = 9,257,526,757.88
  5. Step 5: Solve for x
    x = 9,257,526,757.88/118,547.49
  6. Step 6: Final answer
    x = 78,091.29

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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.