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Finding the Fourth Proportional to 158,274, 237,411 and 47,466

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Solution

The fourth proportional to 158,274, 237,411 and 47,466 is: 71,199

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,274 : 237,411 = 47,466 : x
  2. Step 2: Convert to fraction form
    158,274/237,411 = 47,466/x
  3. Step 3: Cross multiply
    158,274x = 237,411 × 47,466
  4. Step 4: Simplify right side
    158,274x = 11,268,950,526
  5. Step 5: Solve for x
    x = 11,268,950,526/158,274
  6. Step 6: Final answer
    x = 71,199

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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.