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Finding the Fourth Proportional to 109,423, 164,199.03 and 46,239.04

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Solution

The fourth proportional to 109,423, 164,199.03 and 46,239.04 is: 69,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,423 : 164,199.03 = 46,239.04 : x
  2. Step 2: Convert to fraction form
    109,423/164,199.03 = 46,239.04/x
  3. Step 3: Cross multiply
    109,423x = 164,199.03 × 46,239.04
  4. Step 4: Simplify right side
    109,423x = 7,592,405,516.13
  5. Step 5: Solve for x
    x = 7,592,405,516.13/109,423
  6. Step 6: Final answer
    x = 69,385.83

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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.