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Finding the Fourth Proportional to 150,681.60, 208,051.20 and 132,019.20

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Solution

The fourth proportional to 150,681.60, 208,051.20 and 132,019.20 is: 182,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,681.60 : 208,051.20 = 132,019.20 : x
  2. Step 2: Convert to fraction form
    150,681.60/208,051.20 = 132,019.20/x
  3. Step 3: Cross multiply
    150,681.60x = 208,051.20 × 132,019.20
  4. Step 4: Simplify right side
    150,681.60x = 27,466,752,983.04
  5. Step 5: Solve for x
    x = 27,466,752,983.04/150,681.60
  6. Step 6: Final answer
    x = 182,283.39

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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.