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Finding the Fourth Proportional to 103,292.64, 142,544.61 and 67,461.48

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Solution

The fourth proportional to 103,292.64, 142,544.61 and 67,461.48 is: 93,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,292.64 : 142,544.61 = 67,461.48 : x
  2. Step 2: Convert to fraction form
    103,292.64/142,544.61 = 67,461.48/x
  3. Step 3: Cross multiply
    103,292.64x = 142,544.61 × 67,461.48
  4. Step 4: Simplify right side
    103,292.64x = 9,616,270,356.62
  5. Step 5: Solve for x
    x = 9,616,270,356.62/103,292.64
  6. Step 6: Final answer
    x = 93,097.34

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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.