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Finding the Fourth Proportional to 238,967.63, 358,451.46 and 98,729.90

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Solution

The fourth proportional to 238,967.63, 358,451.46 and 98,729.90 is: 148,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,967.63 : 358,451.46 = 98,729.90 : x
  2. Step 2: Convert to fraction form
    238,967.63/358,451.46 = 98,729.90/x
  3. Step 3: Cross multiply
    238,967.63x = 358,451.46 × 98,729.90
  4. Step 4: Simplify right side
    238,967.63x = 35,389,876,800.65
  5. Step 5: Solve for x
    x = 35,389,876,800.65/238,967.63
  6. Step 6: Final answer
    x = 148,094.86

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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.