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Finding the Fourth Proportional to 120,057, 165,678.66 and 67,065

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Solution

The fourth proportional to 120,057, 165,678.66 and 67,065 is: 92,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,057 : 165,678.66 = 67,065 : x
  2. Step 2: Convert to fraction form
    120,057/165,678.66 = 67,065/x
  3. Step 3: Cross multiply
    120,057x = 165,678.66 × 67,065
  4. Step 4: Simplify right side
    120,057x = 11,111,239,332.90
  5. Step 5: Solve for x
    x = 11,111,239,332.90/120,057
  6. Step 6: Final answer
    x = 92,549.70

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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.