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Finding the Fourth Proportional to 158,652, 237,954.62 and 52,047.20

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Solution

The fourth proportional to 158,652, 237,954.62 and 52,047.20 is: 78,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,652 : 237,954.62 = 52,047.20 : x
  2. Step 2: Convert to fraction form
    158,652/237,954.62 = 52,047.20/x
  3. Step 3: Cross multiply
    158,652x = 237,954.62 × 52,047.20
  4. Step 4: Simplify right side
    158,652x = 12,384,872,423.07
  5. Step 5: Solve for x
    x = 12,384,872,423.07/158,652
  6. Step 6: Final answer
    x = 78,063.13

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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.