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Finding the Fourth Proportional to 242,152, 334,169.92 and 141,550.72

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Solution

The fourth proportional to 242,152, 334,169.92 and 141,550.72 is: 195,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,152 : 334,169.92 = 141,550.72 : x
  2. Step 2: Convert to fraction form
    242,152/334,169.92 = 141,550.72/x
  3. Step 3: Cross multiply
    242,152x = 334,169.92 × 141,550.72
  4. Step 4: Simplify right side
    242,152x = 47,301,992,778.34
  5. Step 5: Solve for x
    x = 47,301,992,778.34/242,152
  6. Step 6: Final answer
    x = 195,340.09

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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.