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Finding the Fourth Proportional to 227,908.53, 314,715.51 and 142,014.11

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Solution

The fourth proportional to 227,908.53, 314,715.51 and 142,014.11 is: 196,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,908.53 : 314,715.51 = 142,014.11 : x
  2. Step 2: Convert to fraction form
    227,908.53/314,715.51 = 142,014.11/x
  3. Step 3: Cross multiply
    227,908.53x = 314,715.51 × 142,014.11
  4. Step 4: Simplify right side
    227,908.53x = 44,694,041,482.27
  5. Step 5: Solve for x
    x = 44,694,041,482.27/227,908.53
  6. Step 6: Final answer
    x = 196,105.17

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Why These Related Problems?

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