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Finding the Fourth Proportional to 214,041.68, 321,065.68 and 101,733.36

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Solution

The fourth proportional to 214,041.68, 321,065.68 and 101,733.36 is: 152,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,041.68 : 321,065.68 = 101,733.36 : x
  2. Step 2: Convert to fraction form
    214,041.68/321,065.68 = 101,733.36/x
  3. Step 3: Cross multiply
    214,041.68x = 321,065.68 × 101,733.36
  4. Step 4: Simplify right side
    214,041.68x = 32,663,090,407.08
  5. Step 5: Solve for x
    x = 32,663,090,407.08/214,041.68
  6. Step 6: Final answer
    x = 152,601.54

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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.