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Finding the Fourth Proportional to 119,944.47, 165,537.95 and 69,643.47

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Solution

The fourth proportional to 119,944.47, 165,537.95 and 69,643.47 is: 96,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,944.47 : 165,537.95 = 69,643.47 : x
  2. Step 2: Convert to fraction form
    119,944.47/165,537.95 = 69,643.47/x
  3. Step 3: Cross multiply
    119,944.47x = 165,537.95 × 69,643.47
  4. Step 4: Simplify right side
    119,944.47x = 11,528,637,254.69
  5. Step 5: Solve for x
    x = 11,528,637,254.69/119,944.47
  6. Step 6: Final answer
    x = 96,116.46

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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.