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Finding the Fourth Proportional to 221,432, 331,925.94 and 114,756.20

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Solution

The fourth proportional to 221,432, 331,925.94 and 114,756.20 is: 172,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,432 : 331,925.94 = 114,756.20 : x
  2. Step 2: Convert to fraction form
    221,432/331,925.94 = 114,756.20/x
  3. Step 3: Cross multiply
    221,432x = 331,925.94 × 114,756.20
  4. Step 4: Simplify right side
    221,432x = 38,090,559,555.83
  5. Step 5: Solve for x
    x = 38,090,559,555.83/221,432
  6. Step 6: Final answer
    x = 172,019.22

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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.