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Finding the Fourth Proportional to 158,048, 237,072 and 41,312

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Solution

The fourth proportional to 158,048, 237,072 and 41,312 is: 61,968

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,048 : 237,072 = 41,312 : x
  2. Step 2: Convert to fraction form
    158,048/237,072 = 41,312/x
  3. Step 3: Cross multiply
    158,048x = 237,072 × 41,312
  4. Step 4: Simplify right side
    158,048x = 9,793,918,464
  5. Step 5: Solve for x
    x = 9,793,918,464/158,048
  6. Step 6: Final answer
    x = 61,968

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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.