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Finding the Fourth Proportional to 214,041.45, 321,065.31 and 101,733.14

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Solution

The fourth proportional to 214,041.45, 321,065.31 and 101,733.14 is: 152,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,041.45 : 321,065.31 = 101,733.14 : x
  2. Step 2: Convert to fraction form
    214,041.45/321,065.31 = 101,733.14/x
  3. Step 3: Cross multiply
    214,041.45x = 321,065.31 × 101,733.14
  4. Step 4: Simplify right side
    214,041.45x = 32,662,980,526.05
  5. Step 5: Solve for x
    x = 32,662,980,526.05/214,041.45
  6. Step 6: Final answer
    x = 152,601.19

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Why These Related Problems?

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