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Finding the Fourth Proportional to 180,114.40, 248,541.53 and 103,613.14

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Solution

The fourth proportional to 180,114.40, 248,541.53 and 103,613.14 is: 142,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,114.40 : 248,541.53 = 103,613.14 : x
  2. Step 2: Convert to fraction form
    180,114.40/248,541.53 = 103,613.14/x
  3. Step 3: Cross multiply
    180,114.40x = 248,541.53 × 103,613.14
  4. Step 4: Simplify right side
    180,114.40x = 25,752,167,981.38
  5. Step 5: Solve for x
    x = 25,752,167,981.38/180,114.40
  6. Step 6: Final answer
    x = 142,976.73

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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.