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Finding the Fourth Proportional to 158,894.40, 238,399.98 and 149,504.88

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Solution

The fourth proportional to 158,894.40, 238,399.98 and 149,504.88 is: 224,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,894.40 : 238,399.98 = 149,504.88 : x
  2. Step 2: Convert to fraction form
    158,894.40/238,399.98 = 149,504.88/x
  3. Step 3: Cross multiply
    158,894.40x = 238,399.98 × 149,504.88
  4. Step 4: Simplify right side
    158,894.40x = 35,641,960,401.90
  5. Step 5: Solve for x
    x = 35,641,960,401.90/158,894.40
  6. Step 6: Final answer
    x = 224,312.25

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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.