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Finding the Fourth Proportional to 242,900.64, 364,318.08 and 65,418.40

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Solution

The fourth proportional to 242,900.64, 364,318.08 and 65,418.40 is: 98,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,900.64 : 364,318.08 = 65,418.40 : x
  2. Step 2: Convert to fraction form
    242,900.64/364,318.08 = 65,418.40/x
  3. Step 3: Cross multiply
    242,900.64x = 364,318.08 × 65,418.40
  4. Step 4: Simplify right side
    242,900.64x = 23,833,105,884.67
  5. Step 5: Solve for x
    x = 23,833,105,884.67/242,900.64
  6. Step 6: Final answer
    x = 98,118.74

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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.