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Finding the Fourth Proportional to 119,264.47, 164,584.46 and 65,551.75

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Solution

The fourth proportional to 119,264.47, 164,584.46 and 65,551.75 is: 90,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,264.47 : 164,584.46 = 65,551.75 : x
  2. Step 2: Convert to fraction form
    119,264.47/164,584.46 = 65,551.75/x
  3. Step 3: Cross multiply
    119,264.47x = 164,584.46 × 65,551.75
  4. Step 4: Simplify right side
    119,264.47x = 10,788,799,128.22
  5. Step 5: Solve for x
    x = 10,788,799,128.22/119,264.47
  6. Step 6: Final answer
    x = 90,461.14

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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.