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Finding the Fourth Proportional to 119,617, 165,071.46 and 69,345.16

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Solution

The fourth proportional to 119,617, 165,071.46 and 69,345.16 is: 95,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,617 : 165,071.46 = 69,345.16 : x
  2. Step 2: Convert to fraction form
    119,617/165,071.46 = 69,345.16/x
  3. Step 3: Cross multiply
    119,617x = 165,071.46 × 69,345.16
  4. Step 4: Simplify right side
    119,617x = 11,446,906,805.13
  5. Step 5: Solve for x
    x = 11,446,906,805.13/119,617
  6. Step 6: Final answer
    x = 95,696.32

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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.