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Finding the Fourth Proportional to 234,967.17, 352,510.83 and 77,196.99

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Solution

The fourth proportional to 234,967.17, 352,510.83 and 77,196.99 is: 115,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,967.17 : 352,510.83 = 77,196.99 : x
  2. Step 2: Convert to fraction form
    234,967.17/352,510.83 = 77,196.99/x
  3. Step 3: Cross multiply
    234,967.17x = 352,510.83 × 77,196.99
  4. Step 4: Simplify right side
    234,967.17x = 27,212,775,018.40
  5. Step 5: Solve for x
    x = 27,212,775,018.40/234,967.17
  6. Step 6: Final answer
    x = 115,815.22

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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.