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Finding the Fourth Proportional to 152,284.80, 210,149.96 and 84,301.75

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Solution

The fourth proportional to 152,284.80, 210,149.96 and 84,301.75 is: 116,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,284.80 : 210,149.96 = 84,301.75 : x
  2. Step 2: Convert to fraction form
    152,284.80/210,149.96 = 84,301.75/x
  3. Step 3: Cross multiply
    152,284.80x = 210,149.96 × 84,301.75
  4. Step 4: Simplify right side
    152,284.80x = 17,716,009,390.43
  5. Step 5: Solve for x
    x = 17,716,009,390.43/152,284.80
  6. Step 6: Final answer
    x = 116,334.72

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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.