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Finding the Fourth Proportional to 163,099.34, 244,448.21 and 77,755.16

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Solution

The fourth proportional to 163,099.34, 244,448.21 and 77,755.16 is: 116,537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,099.34 : 244,448.21 = 77,755.16 : x
  2. Step 2: Convert to fraction form
    163,099.34/244,448.21 = 77,755.16/x
  3. Step 3: Cross multiply
    163,099.34x = 244,448.21 × 77,755.16
  4. Step 4: Simplify right side
    163,099.34x = 19,007,108,069.25
  5. Step 5: Solve for x
    x = 19,007,108,069.25/163,099.34
  6. Step 6: Final answer
    x = 116,537.01

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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.