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Finding the Fourth Proportional to 602,106, 903,219.54 and 158,874

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Solution

The fourth proportional to 602,106, 903,219.54 and 158,874 is: 238,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,106 : 903,219.54 = 158,874 : x
  2. Step 2: Convert to fraction form
    602,106/903,219.54 = 158,874/x
  3. Step 3: Cross multiply
    602,106x = 903,219.54 × 158,874
  4. Step 4: Simplify right side
    602,106x = 143,498,101,197.96
  5. Step 5: Solve for x
    x = 143,498,101,197.96/602,106
  6. Step 6: Final answer
    x = 238,326.97

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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.