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Finding the Fourth Proportional to 238,498.36, 357,911.57 and 98,256.98

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Solution

The fourth proportional to 238,498.36, 357,911.57 and 98,256.98 is: 147,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,498.36 : 357,911.57 = 98,256.98 : x
  2. Step 2: Convert to fraction form
    238,498.36/357,911.57 = 98,256.98/x
  3. Step 3: Cross multiply
    238,498.36x = 357,911.57 × 98,256.98
  4. Step 4: Simplify right side
    238,498.36x = 35,167,310,378.75
  5. Step 5: Solve for x
    x = 35,167,310,378.75/238,498.36
  6. Step 6: Final answer
    x = 147,453.05

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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.