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Finding the Fourth Proportional to 105,097.88, 157,656.60 and 41,902.70

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Solution

The fourth proportional to 105,097.88, 157,656.60 and 41,902.70 is: 62,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,097.88 : 157,656.60 = 41,902.70 : x
  2. Step 2: Convert to fraction form
    105,097.88/157,656.60 = 41,902.70/x
  3. Step 3: Cross multiply
    105,097.88x = 157,656.60 × 41,902.70
  4. Step 4: Simplify right side
    105,097.88x = 6,606,237,212.82
  5. Step 5: Solve for x
    x = 6,606,237,212.82/105,097.88
  6. Step 6: Final answer
    x = 62,857.95

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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.