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Finding the Fourth Proportional to 216,794.75, 325,262.84 and 96,837.08

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Solution

The fourth proportional to 216,794.75, 325,262.84 and 96,837.08 is: 145,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,794.75 : 325,262.84 = 96,837.08 : x
  2. Step 2: Convert to fraction form
    216,794.75/325,262.84 = 96,837.08/x
  3. Step 3: Cross multiply
    216,794.75x = 325,262.84 × 96,837.08
  4. Step 4: Simplify right side
    216,794.75x = 31,497,501,547.61
  5. Step 5: Solve for x
    x = 31,497,501,547.61/216,794.75
  6. Step 6: Final answer
    x = 145,287.20

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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.