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Finding the Fourth Proportional to 106,116.56, 146,430.36 and 60,785.84

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Solution

The fourth proportional to 106,116.56, 146,430.36 and 60,785.84 is: 83,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116.56 : 146,430.36 = 60,785.84 : x
  2. Step 2: Convert to fraction form
    106,116.56/146,430.36 = 60,785.84/x
  3. Step 3: Cross multiply
    106,116.56x = 146,430.36 × 60,785.84
  4. Step 4: Simplify right side
    106,116.56x = 8,900,892,434.10
  5. Step 5: Solve for x
    x = 8,900,892,434.10/106,116.56
  6. Step 6: Final answer
    x = 83,878.45

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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.