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Finding the Fourth Proportional to 119,506, 164,929.28 and 65,801.92

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Solution

The fourth proportional to 119,506, 164,929.28 and 65,801.92 is: 90,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,506 : 164,929.28 = 65,801.92 : x
  2. Step 2: Convert to fraction form
    119,506/164,929.28 = 65,801.92/x
  3. Step 3: Cross multiply
    119,506x = 164,929.28 × 65,801.92
  4. Step 4: Simplify right side
    119,506x = 10,852,663,288.22
  5. Step 5: Solve for x
    x = 10,852,663,288.22/119,506
  6. Step 6: Final answer
    x = 90,812.71

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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.