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Finding the Fourth Proportional to 114,364.10, 157,823.57 and 63,377.44

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Solution

The fourth proportional to 114,364.10, 157,823.57 and 63,377.44 is: 87,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,364.10 : 157,823.57 = 63,377.44 : x
  2. Step 2: Convert to fraction form
    114,364.10/157,823.57 = 63,377.44/x
  3. Step 3: Cross multiply
    114,364.10x = 157,823.57 × 63,377.44
  4. Step 4: Simplify right side
    114,364.10x = 10,002,453,602.15
  5. Step 5: Solve for x
    x = 10,002,453,602.15/114,364.10
  6. Step 6: Final answer
    x = 87,461.48

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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.