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Finding the Fourth Proportional to 202,464, 303,711.12 and 77,806.08

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Solution

The fourth proportional to 202,464, 303,711.12 and 77,806.08 is: 116,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,464 : 303,711.12 = 77,806.08 : x
  2. Step 2: Convert to fraction form
    202,464/303,711.12 = 77,806.08/x
  3. Step 3: Cross multiply
    202,464x = 303,711.12 × 77,806.08
  4. Step 4: Simplify right side
    202,464x = 23,630,571,699.61
  5. Step 5: Solve for x
    x = 23,630,571,699.61/202,464
  6. Step 6: Final answer
    x = 116,714.93

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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.