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Finding the Fourth Proportional to 119,577.41, 165,024.30 and 65,862.41

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Solution

The fourth proportional to 119,577.41, 165,024.30 and 65,862.41 is: 90,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,577.41 : 165,024.30 = 65,862.41 : x
  2. Step 2: Convert to fraction form
    119,577.41/165,024.30 = 65,862.41/x
  3. Step 3: Cross multiply
    119,577.41x = 165,024.30 × 65,862.41
  4. Step 4: Simplify right side
    119,577.41x = 10,868,897,281.44
  5. Step 5: Solve for x
    x = 10,868,897,281.44/119,577.41
  6. Step 6: Final answer
    x = 90,894.24

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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.