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Finding the Fourth Proportional to 157,806.62, 217,774.54 and 89,827.98

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Solution

The fourth proportional to 157,806.62, 217,774.54 and 89,827.98 is: 123,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,806.62 : 217,774.54 = 89,827.98 : x
  2. Step 2: Convert to fraction form
    157,806.62/217,774.54 = 89,827.98/x
  3. Step 3: Cross multiply
    157,806.62x = 217,774.54 × 89,827.98
  4. Step 4: Simplify right side
    157,806.62x = 19,562,247,023.63
  5. Step 5: Solve for x
    x = 19,562,247,023.63/157,806.62
  6. Step 6: Final answer
    x = 123,963.41

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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.