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Finding the Fourth Proportional to 202,042, 303,075.15 and 61,801.84

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Solution

The fourth proportional to 202,042, 303,075.15 and 61,801.84 is: 92,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,042 : 303,075.15 = 61,801.84 : x
  2. Step 2: Convert to fraction form
    202,042/303,075.15 = 61,801.84/x
  3. Step 3: Cross multiply
    202,042x = 303,075.15 × 61,801.84
  4. Step 4: Simplify right side
    202,042x = 18,730,601,928.28
  5. Step 5: Solve for x
    x = 18,730,601,928.28/202,042
  6. Step 6: Final answer
    x = 92,706.48

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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.