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Finding the Fourth Proportional to 119,124.36, 164,393.01 and 65,408.40

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Solution

The fourth proportional to 119,124.36, 164,393.01 and 65,408.40 is: 90,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,124.36 : 164,393.01 = 65,408.40 : x
  2. Step 2: Convert to fraction form
    119,124.36/164,393.01 = 65,408.40/x
  3. Step 3: Cross multiply
    119,124.36x = 164,393.01 × 65,408.40
  4. Step 4: Simplify right side
    119,124.36x = 10,752,683,755.28
  5. Step 5: Solve for x
    x = 10,752,683,755.28/119,124.36
  6. Step 6: Final answer
    x = 90,264.36

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1.5x scale

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.