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Finding the Fourth Proportional to 119,698.35, 165,184.88 and 65,985.29

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Solution

The fourth proportional to 119,698.35, 165,184.88 and 65,985.29 is: 91,060.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,698.35 : 165,184.88 = 65,985.29 : x
  2. Step 2: Convert to fraction form
    119,698.35/165,184.88 = 65,985.29/x
  3. Step 3: Cross multiply
    119,698.35x = 165,184.88 × 65,985.29
  4. Step 4: Simplify right side
    119,698.35x = 10,899,772,567.99
  5. Step 5: Solve for x
    x = 10,899,772,567.99/119,698.35
  6. Step 6: Final answer
    x = 91,060.34

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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.