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Finding the Fourth Proportional to 119,473.92, 164,518.11 and 116,821.89

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Solution

The fourth proportional to 119,473.92, 164,518.11 and 116,821.89 is: 160,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,473.92 : 164,518.11 = 116,821.89 : x
  2. Step 2: Convert to fraction form
    119,473.92/164,518.11 = 116,821.89/x
  3. Step 3: Cross multiply
    119,473.92x = 164,518.11 × 116,821.89
  4. Step 4: Simplify right side
    119,473.92x = 19,219,316,549.43
  5. Step 5: Solve for x
    x = 19,219,316,549.43/119,473.92
  6. Step 6: Final answer
    x = 160,866.21

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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.