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Finding the Fourth Proportional to 119,767.84, 165,295 and 99,590

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Solution

The fourth proportional to 119,767.84, 165,295 and 99,590 is: 137,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,767.84 : 165,295 = 99,590 : x
  2. Step 2: Convert to fraction form
    119,767.84/165,295 = 99,590/x
  3. Step 3: Cross multiply
    119,767.84x = 165,295 × 99,590
  4. Step 4: Simplify right side
    119,767.84x = 16,461,729,050
  5. Step 5: Solve for x
    x = 16,461,729,050/119,767.84
  6. Step 6: Final answer
    x = 137,446.99

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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.