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Finding the Fourth Proportional to 242,599.95, 363,849.80 and 65,064.75

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Solution

The fourth proportional to 242,599.95, 363,849.80 and 65,064.75 is: 97,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,599.95 : 363,849.80 = 65,064.75 : x
  2. Step 2: Convert to fraction form
    242,599.95/363,849.80 = 65,064.75/x
  3. Step 3: Cross multiply
    242,599.95x = 363,849.80 × 65,064.75
  4. Step 4: Simplify right side
    242,599.95x = 23,673,795,949.23
  5. Step 5: Solve for x
    x = 23,673,795,949.23/242,599.95
  6. Step 6: Final answer
    x = 97,583.68

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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.