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Finding the Fourth Proportional to 214,041.83, 321,065.89 and 101,733.50

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Solution

The fourth proportional to 214,041.83, 321,065.89 and 101,733.50 is: 152,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,041.83 : 321,065.89 = 101,733.50 : x
  2. Step 2: Convert to fraction form
    214,041.83/321,065.89 = 101,733.50/x
  3. Step 3: Cross multiply
    214,041.83x = 321,065.89 × 101,733.50
  4. Step 4: Simplify right side
    214,041.83x = 32,663,157,268.65
  5. Step 5: Solve for x
    x = 32,663,157,268.65/214,041.83
  6. Step 6: Final answer
    x = 152,601.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.