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Finding the Fourth Proportional to 242,089.68, 334,124.30 and 140,097.57

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Solution

The fourth proportional to 242,089.68, 334,124.30 and 140,097.57 is: 193,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,089.68 : 334,124.30 = 140,097.57 : x
  2. Step 2: Convert to fraction form
    242,089.68/334,124.30 = 140,097.57/x
  3. Step 3: Cross multiply
    242,089.68x = 334,124.30 × 140,097.57
  4. Step 4: Simplify right side
    242,089.68x = 46,810,002,858.19
  5. Step 5: Solve for x
    x = 46,810,002,858.19/242,089.68
  6. Step 6: Final answer
    x = 193,358.11

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