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Finding the Fourth Proportional to 152,410.38, 210,326.29 and 84,431.75

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Solution

The fourth proportional to 152,410.38, 210,326.29 and 84,431.75 is: 116,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,410.38 : 210,326.29 = 84,431.75 : x
  2. Step 2: Convert to fraction form
    152,410.38/210,326.29 = 84,431.75/x
  3. Step 3: Cross multiply
    152,410.38x = 210,326.29 × 84,431.75
  4. Step 4: Simplify right side
    152,410.38x = 17,758,216,735.71
  5. Step 5: Solve for x
    x = 17,758,216,735.71/152,410.38
  6. Step 6: Final answer
    x = 116,515.80

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Why These Related Problems?

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