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Finding the Fourth Proportional to 242,965.76, 364,457.19 and 65,477.04

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Solution

The fourth proportional to 242,965.76, 364,457.19 and 65,477.04 is: 98,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,965.76 : 364,457.19 = 65,477.04 : x
  2. Step 2: Convert to fraction form
    242,965.76/364,457.19 = 65,477.04/x
  3. Step 3: Cross multiply
    242,965.76x = 364,457.19 × 65,477.04
  4. Step 4: Simplify right side
    242,965.76x = 23,863,578,007.92
  5. Step 5: Solve for x
    x = 23,863,578,007.92/242,965.76
  6. Step 6: Final answer
    x = 98,217.87

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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.