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Finding the Fourth Proportional to 242,806.30, 363,881.40 and 162,616.30

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Solution

The fourth proportional to 242,806.30, 363,881.40 and 162,616.30 is: 243,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,806.30 : 363,881.40 = 162,616.30 : x
  2. Step 2: Convert to fraction form
    242,806.30/363,881.40 = 162,616.30/x
  3. Step 3: Cross multiply
    242,806.30x = 363,881.40 × 162,616.30
  4. Step 4: Simplify right side
    242,806.30x = 59,173,046,906.82
  5. Step 5: Solve for x
    x = 59,173,046,906.82/242,806.30
  6. Step 6: Final answer
    x = 243,704.74

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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.