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Finding the Fourth Proportional to 242,358.84, 334,473.30 and 140,411.70

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Solution

The fourth proportional to 242,358.84, 334,473.30 and 140,411.70 is: 193,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,358.84 : 334,473.30 = 140,411.70 : x
  2. Step 2: Convert to fraction form
    242,358.84/334,473.30 = 140,411.70/x
  3. Step 3: Cross multiply
    242,358.84x = 334,473.30 × 140,411.70
  4. Step 4: Simplify right side
    242,358.84x = 46,963,964,657.61
  5. Step 5: Solve for x
    x = 46,963,964,657.61/242,358.84
  6. Step 6: Final answer
    x = 193,778.63

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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.