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Finding the Fourth Proportional to 202,962.80, 304,444.20 and 78,303.80

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Solution

The fourth proportional to 202,962.80, 304,444.20 and 78,303.80 is: 117,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,962.80 : 304,444.20 = 78,303.80 : x
  2. Step 2: Convert to fraction form
    202,962.80/304,444.20 = 78,303.80/x
  3. Step 3: Cross multiply
    202,962.80x = 304,444.20 × 78,303.80
  4. Step 4: Simplify right side
    202,962.80x = 23,839,137,747.96
  5. Step 5: Solve for x
    x = 23,839,137,747.96/202,962.80
  6. Step 6: Final answer
    x = 117,455.70

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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.