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Finding the Fourth Proportional to 153,780.57, 212,304.38 and 100,038.69

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Solution

The fourth proportional to 153,780.57, 212,304.38 and 100,038.69 is: 138,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,780.57 : 212,304.38 = 100,038.69 : x
  2. Step 2: Convert to fraction form
    153,780.57/212,304.38 = 100,038.69/x
  3. Step 3: Cross multiply
    153,780.57x = 212,304.38 × 100,038.69
  4. Step 4: Simplify right side
    153,780.57x = 21,238,651,556.27
  5. Step 5: Solve for x
    x = 21,238,651,556.27/153,780.57
  6. Step 6: Final answer
    x = 138,110.11

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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.