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Finding the Fourth Proportional to 114,012.74, 157,381.98 and 102,055.38

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Solution

The fourth proportional to 114,012.74, 157,381.98 and 102,055.38 is: 140,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,012.74 : 157,381.98 = 102,055.38 : x
  2. Step 2: Convert to fraction form
    114,012.74/157,381.98 = 102,055.38/x
  3. Step 3: Cross multiply
    114,012.74x = 157,381.98 × 102,055.38
  4. Step 4: Simplify right side
    114,012.74x = 16,061,677,774.05
  5. Step 5: Solve for x
    x = 16,061,677,774.05/114,012.74
  6. Step 6: Final answer
    x = 140,876.17

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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.