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Finding the Fourth Proportional to 242,612.69, 334,806.85 and 140,698.58

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Solution

The fourth proportional to 242,612.69, 334,806.85 and 140,698.58 is: 194,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,612.69 : 334,806.85 = 140,698.58 : x
  2. Step 2: Convert to fraction form
    242,612.69/334,806.85 = 140,698.58/x
  3. Step 3: Cross multiply
    242,612.69x = 334,806.85 × 140,698.58
  4. Step 4: Simplify right side
    242,612.69x = 47,106,848,854.54
  5. Step 5: Solve for x
    x = 47,106,848,854.54/242,612.69
  6. Step 6: Final answer
    x = 194,164.82

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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.