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Finding the Fourth Proportional to 119,643.98, 165,115.94 and 65,928.94

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Solution

The fourth proportional to 119,643.98, 165,115.94 and 65,928.94 is: 90,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,643.98 : 165,115.94 = 65,928.94 : x
  2. Step 2: Convert to fraction form
    119,643.98/165,115.94 = 65,928.94/x
  3. Step 3: Cross multiply
    119,643.98x = 165,115.94 × 65,928.94
  4. Step 4: Simplify right side
    119,643.98x = 10,885,918,158.87
  5. Step 5: Solve for x
    x = 10,885,918,158.87/119,643.98
  6. Step 6: Final answer
    x = 90,985.93

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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.