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Finding the Fourth Proportional to 152,506.28, 210,467.02 and 84,521.81

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Solution

The fourth proportional to 152,506.28, 210,467.02 and 84,521.81 is: 116,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,506.28 : 210,467.02 = 84,521.81 : x
  2. Step 2: Convert to fraction form
    152,506.28/210,467.02 = 84,521.81/x
  3. Step 3: Cross multiply
    152,506.28x = 210,467.02 × 84,521.81
  4. Step 4: Simplify right side
    152,506.28x = 17,789,053,475.71
  5. Step 5: Solve for x
    x = 17,789,053,475.71/152,506.28
  6. Step 6: Final answer
    x = 116,644.73

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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.