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Finding the Fourth Proportional to 242,223.40, 334,239.78 and 140,228.20

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Solution

The fourth proportional to 242,223.40, 334,239.78 and 140,228.20 is: 193,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,223.40 : 334,239.78 = 140,228.20 : x
  2. Step 2: Convert to fraction form
    242,223.40/334,239.78 = 140,228.20/x
  3. Step 3: Cross multiply
    242,223.40x = 334,239.78 × 140,228.20
  4. Step 4: Simplify right side
    242,223.40x = 46,869,842,717.80
  5. Step 5: Solve for x
    x = 46,869,842,717.80/242,223.40
  6. Step 6: Final answer
    x = 193,498.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.