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Finding the Fourth Proportional to 242,993.04, 364,515.52 and 102,765.84

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Solution

The fourth proportional to 242,993.04, 364,515.52 and 102,765.84 is: 154,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,993.04 : 364,515.52 = 102,765.84 : x
  2. Step 2: Convert to fraction form
    242,993.04/364,515.52 = 102,765.84/x
  3. Step 3: Cross multiply
    242,993.04x = 364,515.52 × 102,765.84
  4. Step 4: Simplify right side
    242,993.04x = 37,459,743,605.84
  5. Step 5: Solve for x
    x = 37,459,743,605.84/242,993.04
  6. Step 6: Final answer
    x = 154,159.74

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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.