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Finding the Fourth Proportional to 120,123, 165,776.04 and 69,143.40

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Solution

The fourth proportional to 120,123, 165,776.04 and 69,143.40 is: 95,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,123 : 165,776.04 = 69,143.40 : x
  2. Step 2: Convert to fraction form
    120,123/165,776.04 = 69,143.40/x
  3. Step 3: Cross multiply
    120,123x = 165,776.04 × 69,143.40
  4. Step 4: Simplify right side
    120,123x = 11,462,319,044.14
  5. Step 5: Solve for x
    x = 11,462,319,044.14/120,123
  6. Step 6: Final answer
    x = 95,421.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.