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Finding the Fourth Proportional to 154,025, 212,555.14 and 83,369

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Solution

The fourth proportional to 154,025, 212,555.14 and 83,369 is: 115,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,025 : 212,555.14 = 83,369 : x
  2. Step 2: Convert to fraction form
    154,025/212,555.14 = 83,369/x
  3. Step 3: Cross multiply
    154,025x = 212,555.14 × 83,369
  4. Step 4: Simplify right side
    154,025x = 17,720,509,466.66
  5. Step 5: Solve for x
    x = 17,720,509,466.66/154,025
  6. Step 6: Final answer
    x = 115,049.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.