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Finding the Fourth Proportional to 242,717.43, 364,075.82 and 65,224.45

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Solution

The fourth proportional to 242,717.43, 364,075.82 and 65,224.45 is: 97,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,717.43 : 364,075.82 = 65,224.45 : x
  2. Step 2: Convert to fraction form
    242,717.43/364,075.82 = 65,224.45/x
  3. Step 3: Cross multiply
    242,717.43x = 364,075.82 × 65,224.45
  4. Step 4: Simplify right side
    242,717.43x = 23,746,645,117.80
  5. Step 5: Solve for x
    x = 23,746,645,117.80/242,717.43
  6. Step 6: Final answer
    x = 97,836.59

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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.