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Finding the Fourth Proportional to 140,004.66, 209,963.25 and 61,097.70

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Solution

The fourth proportional to 140,004.66, 209,963.25 and 61,097.70 is: 91,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,004.66 : 209,963.25 = 61,097.70 : x
  2. Step 2: Convert to fraction form
    140,004.66/209,963.25 = 61,097.70/x
  3. Step 3: Cross multiply
    140,004.66x = 209,963.25 × 61,097.70
  4. Step 4: Simplify right side
    140,004.66x = 12,828,271,659.53
  5. Step 5: Solve for x
    x = 12,828,271,659.53/140,004.66
  6. Step 6: Final answer
    x = 91,627.46

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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.