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Finding the Fourth Proportional to 243,822, 365,730.48 and 185,018.88

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Solution

The fourth proportional to 243,822, 365,730.48 and 185,018.88 is: 277,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,822 : 365,730.48 = 185,018.88 : x
  2. Step 2: Convert to fraction form
    243,822/365,730.48 = 185,018.88/x
  3. Step 3: Cross multiply
    243,822x = 365,730.48 × 185,018.88
  4. Step 4: Simplify right side
    243,822x = 67,667,043,791.46
  5. Step 5: Solve for x
    x = 67,667,043,791.46/243,822
  6. Step 6: Final answer
    x = 277,526.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.