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Finding the Fourth Proportional to 119,656.96, 165,111.68 and 69,349.12

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Solution

The fourth proportional to 119,656.96, 165,111.68 and 69,349.12 is: 95,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,656.96 : 165,111.68 = 69,349.12 : x
  2. Step 2: Convert to fraction form
    119,656.96/165,111.68 = 69,349.12/x
  3. Step 3: Cross multiply
    119,656.96x = 165,111.68 × 69,349.12
  4. Step 4: Simplify right side
    119,656.96x = 11,450,349,709.72
  5. Step 5: Solve for x
    x = 11,450,349,709.72/119,656.96
  6. Step 6: Final answer
    x = 95,693.14

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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.