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Finding the Fourth Proportional to 146,870.28, 202,673.04 and 83,206.68

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Solution

The fourth proportional to 146,870.28, 202,673.04 and 83,206.68 is: 114,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,870.28 : 202,673.04 = 83,206.68 : x
  2. Step 2: Convert to fraction form
    146,870.28/202,673.04 = 83,206.68/x
  3. Step 3: Cross multiply
    146,870.28x = 202,673.04 × 83,206.68
  4. Step 4: Simplify right side
    146,870.28x = 16,863,750,783.91
  5. Step 5: Solve for x
    x = 16,863,750,783.91/146,870.28
  6. Step 6: Final answer
    x = 114,820.72

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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.