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Finding the Fourth Proportional to 106,934, 147,607.82 and 62,222

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Solution

The fourth proportional to 106,934, 147,607.82 and 62,222 is: 85,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,934 : 147,607.82 = 62,222 : x
  2. Step 2: Convert to fraction form
    106,934/147,607.82 = 62,222/x
  3. Step 3: Cross multiply
    106,934x = 147,607.82 × 62,222
  4. Step 4: Simplify right side
    106,934x = 9,184,453,776.04
  5. Step 5: Solve for x
    x = 9,184,453,776.04/106,934
  6. Step 6: Final answer
    x = 85,888.99

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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.