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Finding the Fourth Proportional to 180,699.67, 270,824.60 and 116,488.49

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Solution

The fourth proportional to 180,699.67, 270,824.60 and 116,488.49 is: 174,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,699.67 : 270,824.60 = 116,488.49 : x
  2. Step 2: Convert to fraction form
    180,699.67/270,824.60 = 116,488.49/x
  3. Step 3: Cross multiply
    180,699.67x = 270,824.60 × 116,488.49
  4. Step 4: Simplify right side
    180,699.67x = 31,547,948,126.41
  5. Step 5: Solve for x
    x = 31,547,948,126.41/180,699.67
  6. Step 6: Final answer
    x = 174,587.75

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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.