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Finding the Fourth Proportional to 106,894.22, 160,396.65 and 77,554.22

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Solution

The fourth proportional to 106,894.22, 160,396.65 and 77,554.22 is: 116,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,894.22 : 160,396.65 = 77,554.22 : x
  2. Step 2: Convert to fraction form
    106,894.22/160,396.65 = 77,554.22/x
  3. Step 3: Cross multiply
    106,894.22x = 160,396.65 × 77,554.22
  4. Step 4: Simplify right side
    106,894.22x = 12,439,436,279.38
  5. Step 5: Solve for x
    x = 12,439,436,279.38/106,894.22
  6. Step 6: Final answer
    x = 116,371.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.