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Finding the Fourth Proportional to 106,007.76, 146,311.38 and 70,199.28

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Solution

The fourth proportional to 106,007.76, 146,311.38 and 70,199.28 is: 96,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,007.76 : 146,311.38 = 70,199.28 : x
  2. Step 2: Convert to fraction form
    106,007.76/146,311.38 = 70,199.28/x
  3. Step 3: Cross multiply
    106,007.76x = 146,311.38 × 70,199.28
  4. Step 4: Simplify right side
    106,007.76x = 10,270,953,531.81
  5. Step 5: Solve for x
    x = 10,270,953,531.81/106,007.76
  6. Step 6: Final answer
    x = 96,888.70

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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.