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Finding the Fourth Proportional to 242,882.51, 364,323.43 and 65,389.71

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Solution

The fourth proportional to 242,882.51, 364,323.43 and 65,389.71 is: 98,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,882.51 : 364,323.43 = 65,389.71 : x
  2. Step 2: Convert to fraction form
    242,882.51/364,323.43 = 65,389.71/x
  3. Step 3: Cross multiply
    242,882.51x = 364,323.43 × 65,389.71
  4. Step 4: Simplify right side
    242,882.51x = 23,823,003,433.91
  5. Step 5: Solve for x
    x = 23,823,003,433.91/242,882.51
  6. Step 6: Final answer
    x = 98,084.47

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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.