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Finding the Fourth Proportional to 252,351.42, 348,252.74 and 144,943

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Solution

The fourth proportional to 252,351.42, 348,252.74 and 144,943 is: 200,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,351.42 : 348,252.74 = 144,943 : x
  2. Step 2: Convert to fraction form
    252,351.42/348,252.74 = 144,943/x
  3. Step 3: Cross multiply
    252,351.42x = 348,252.74 × 144,943
  4. Step 4: Simplify right side
    252,351.42x = 50,476,796,893.82
  5. Step 5: Solve for x
    x = 50,476,796,893.82/252,351.42
  6. Step 6: Final answer
    x = 200,025.81

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1.5x scale

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.