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Finding the Fourth Proportional to 106,935, 147,609.24 and 62,223

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Solution

The fourth proportional to 106,935, 147,609.24 and 62,223 is: 85,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,935 : 147,609.24 = 62,223 : x
  2. Step 2: Convert to fraction form
    106,935/147,609.24 = 62,223/x
  3. Step 3: Cross multiply
    106,935x = 147,609.24 × 62,223
  4. Step 4: Simplify right side
    106,935x = 9,184,689,740.52
  5. Step 5: Solve for x
    x = 9,184,689,740.52/106,935
  6. Step 6: Final answer
    x = 85,890.40

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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.