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Finding the Fourth Proportional to 299,055.11, 412,695.80 and 163,089.32

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Solution

The fourth proportional to 299,055.11, 412,695.80 and 163,089.32 is: 225,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,055.11 : 412,695.80 = 163,089.32 : x
  2. Step 2: Convert to fraction form
    299,055.11/412,695.80 = 163,089.32/x
  3. Step 3: Cross multiply
    299,055.11x = 412,695.80 × 163,089.32
  4. Step 4: Simplify right side
    299,055.11x = 67,306,277,605.15
  5. Step 5: Solve for x
    x = 67,306,277,605.15/299,055.11
  6. Step 6: Final answer
    x = 225,063.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.