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Finding the Fourth Proportional to 119,996, 165,594.48 and 67,004

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Solution

The fourth proportional to 119,996, 165,594.48 and 67,004 is: 92,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,996 : 165,594.48 = 67,004 : x
  2. Step 2: Convert to fraction form
    119,996/165,594.48 = 67,004/x
  3. Step 3: Cross multiply
    119,996x = 165,594.48 × 67,004
  4. Step 4: Simplify right side
    119,996x = 11,095,492,537.92
  5. Step 5: Solve for x
    x = 11,095,492,537.92/119,996
  6. Step 6: Final answer
    x = 92,465.52

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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.