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Finding the Fourth Proportional to 243,095.04, 335,470.68 and 142,493.04

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Solution

The fourth proportional to 243,095.04, 335,470.68 and 142,493.04 is: 196,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,095.04 : 335,470.68 = 142,493.04 : x
  2. Step 2: Convert to fraction form
    243,095.04/335,470.68 = 142,493.04/x
  3. Step 3: Cross multiply
    243,095.04x = 335,470.68 × 142,493.04
  4. Step 4: Simplify right side
    243,095.04x = 47,802,237,024.07
  5. Step 5: Solve for x
    x = 47,802,237,024.07/243,095.04
  6. Step 6: Final answer
    x = 196,640.12

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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.