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Finding the Fourth Proportional to 119,140.47, 164,450.75 and 76,699

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Solution

The fourth proportional to 119,140.47, 164,450.75 and 76,699 is: 105,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,140.47 : 164,450.75 = 76,699 : x
  2. Step 2: Convert to fraction form
    119,140.47/164,450.75 = 76,699/x
  3. Step 3: Cross multiply
    119,140.47x = 164,450.75 × 76,699
  4. Step 4: Simplify right side
    119,140.47x = 12,613,208,074.25
  5. Step 5: Solve for x
    x = 12,613,208,074.25/119,140.47
  6. Step 6: Final answer
    x = 105,868.38

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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.