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Finding the Fourth Proportional to 214,901.34, 322,644.33 and 148,176.06

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Solution

The fourth proportional to 214,901.34, 322,644.33 and 148,176.06 is: 222,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,901.34 : 322,644.33 = 148,176.06 : x
  2. Step 2: Convert to fraction form
    214,901.34/322,644.33 = 148,176.06/x
  3. Step 3: Cross multiply
    214,901.34x = 322,644.33 × 148,176.06
  4. Step 4: Simplify right side
    214,901.34x = 47,808,165,600.74
  5. Step 5: Solve for x
    x = 47,808,165,600.74/214,901.34
  6. Step 6: Final answer
    x = 222,465.65

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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.