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Finding the Fourth Proportional to 242,903.76, 364,366.80 and 74,412

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Solution

The fourth proportional to 242,903.76, 364,366.80 and 74,412 is: 111,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,903.76 : 364,366.80 = 74,412 : x
  2. Step 2: Convert to fraction form
    242,903.76/364,366.80 = 74,412/x
  3. Step 3: Cross multiply
    242,903.76x = 364,366.80 × 74,412
  4. Step 4: Simplify right side
    242,903.76x = 27,113,262,321.60
  5. Step 5: Solve for x
    x = 27,113,262,321.60/242,903.76
  6. Step 6: Final answer
    x = 111,621.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.