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Finding the Fourth Proportional to 119,322.90, 164,569.05 and 73,969.38

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Solution

The fourth proportional to 119,322.90, 164,569.05 and 73,969.38 is: 102,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,322.90 : 164,569.05 = 73,969.38 : x
  2. Step 2: Convert to fraction form
    119,322.90/164,569.05 = 73,969.38/x
  3. Step 3: Cross multiply
    119,322.90x = 164,569.05 × 73,969.38
  4. Step 4: Simplify right side
    119,322.90x = 12,173,070,595.69
  5. Step 5: Solve for x
    x = 12,173,070,595.69/119,322.90
  6. Step 6: Final answer
    x = 102,017.89

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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.