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Finding the Fourth Proportional to 242,698.65, 334,915.00 and 140,728.41

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Solution

The fourth proportional to 242,698.65, 334,915.00 and 140,728.41 is: 194,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,698.65 : 334,915.00 = 140,728.41 : x
  2. Step 2: Convert to fraction form
    242,698.65/334,915.00 = 140,728.41/x
  3. Step 3: Cross multiply
    242,698.65x = 334,915.00 × 140,728.41
  4. Step 4: Simplify right side
    242,698.65x = 47,132,055,083.33
  5. Step 5: Solve for x
    x = 47,132,055,083.33/242,698.65
  6. Step 6: Final answer
    x = 194,199.91

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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.