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Finding the Fourth Proportional to 119,168.83, 164,384.31 and 71,394.51

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Solution

The fourth proportional to 119,168.83, 164,384.31 and 71,394.51 is: 98,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,168.83 : 164,384.31 = 71,394.51 : x
  2. Step 2: Convert to fraction form
    119,168.83/164,384.31 = 71,394.51/x
  3. Step 3: Cross multiply
    119,168.83x = 164,384.31 × 71,394.51
  4. Step 4: Simplify right side
    119,168.83x = 11,736,137,264.14
  5. Step 5: Solve for x
    x = 11,736,137,264.14/119,168.83
  6. Step 6: Final answer
    x = 98,483.28

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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.