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Finding the Fourth Proportional to 105,794.98, 145,997.07 and 60,473.94

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Solution

The fourth proportional to 105,794.98, 145,997.07 and 60,473.94 is: 83,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,794.98 : 145,997.07 = 60,473.94 : x
  2. Step 2: Convert to fraction form
    105,794.98/145,997.07 = 60,473.94/x
  3. Step 3: Cross multiply
    105,794.98x = 145,997.07 × 60,473.94
  4. Step 4: Simplify right side
    105,794.98x = 8,829,018,051.36
  5. Step 5: Solve for x
    x = 8,829,018,051.36/105,794.98
  6. Step 6: Final answer
    x = 83,454.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.