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Finding the Fourth Proportional to 152,716.56, 210,847.80 and 98,293.08

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Solution

The fourth proportional to 152,716.56, 210,847.80 and 98,293.08 is: 135,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,716.56 : 210,847.80 = 98,293.08 : x
  2. Step 2: Convert to fraction form
    152,716.56/210,847.80 = 98,293.08/x
  3. Step 3: Cross multiply
    152,716.56x = 210,847.80 × 98,293.08
  4. Step 4: Simplify right side
    152,716.56x = 20,724,879,673.22
  5. Step 5: Solve for x
    x = 20,724,879,673.22/152,716.56
  6. Step 6: Final answer
    x = 135,708.14

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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.