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Finding the Fourth Proportional to 242,988.68, 364,441.46 and 65,454.16

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Solution

The fourth proportional to 242,988.68, 364,441.46 and 65,454.16 is: 98,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,988.68 : 364,441.46 = 65,454.16 : x
  2. Step 2: Convert to fraction form
    242,988.68/364,441.46 = 65,454.16/x
  3. Step 3: Cross multiply
    242,988.68x = 364,441.46 × 65,454.16
  4. Step 4: Simplify right side
    242,988.68x = 23,854,209,446.61
  5. Step 5: Solve for x
    x = 23,854,209,446.61/242,988.68
  6. Step 6: Final answer
    x = 98,170.05

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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.