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Finding the Fourth Proportional to 105,893.69, 146,146.46 and 60,565.39

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Solution

The fourth proportional to 105,893.69, 146,146.46 and 60,565.39 is: 83,587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,893.69 : 146,146.46 = 60,565.39 : x
  2. Step 2: Convert to fraction form
    105,893.69/146,146.46 = 60,565.39/x
  3. Step 3: Cross multiply
    105,893.69x = 146,146.46 × 60,565.39
  4. Step 4: Simplify right side
    105,893.69x = 8,851,416,313.46
  5. Step 5: Solve for x
    x = 8,851,416,313.46/105,893.69
  6. Step 6: Final answer
    x = 83,587.76

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