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Finding the Fourth Proportional to 195,393.63, 292,893.53 and 77,019.15

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Solution

The fourth proportional to 195,393.63, 292,893.53 and 77,019.15 is: 115,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,393.63 : 292,893.53 = 77,019.15 : x
  2. Step 2: Convert to fraction form
    195,393.63/292,893.53 = 77,019.15/x
  3. Step 3: Cross multiply
    195,393.63x = 292,893.53 × 77,019.15
  4. Step 4: Simplify right side
    195,393.63x = 22,558,410,336.00
  5. Step 5: Solve for x
    x = 22,558,410,336.00/195,393.63
  6. Step 6: Final answer
    x = 115,451.10

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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.