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Finding the Fourth Proportional to 274,276.16, 378,536.11 and 153,424.16

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Solution

The fourth proportional to 274,276.16, 378,536.11 and 153,424.16 is: 211,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,276.16 : 378,536.11 = 153,424.16 : x
  2. Step 2: Convert to fraction form
    274,276.16/378,536.11 = 153,424.16/x
  3. Step 3: Cross multiply
    274,276.16x = 378,536.11 × 153,424.16
  4. Step 4: Simplify right side
    274,276.16x = 58,076,584,706.42
  5. Step 5: Solve for x
    x = 58,076,584,706.42/274,276.16
  6. Step 6: Final answer
    x = 211,744.92

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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.