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Finding the Fourth Proportional to 242,665.84, 334,879.98 and 140,751.64

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Solution

The fourth proportional to 242,665.84, 334,879.98 and 140,751.64 is: 194,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,665.84 : 334,879.98 = 140,751.64 : x
  2. Step 2: Convert to fraction form
    242,665.84/334,879.98 = 140,751.64/x
  3. Step 3: Cross multiply
    242,665.84x = 334,879.98 × 140,751.64
  4. Step 4: Simplify right side
    242,665.84x = 47,134,904,010.01
  5. Step 5: Solve for x
    x = 47,134,904,010.01/242,665.84
  6. Step 6: Final answer
    x = 194,237.91

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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.