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Finding the Fourth Proportional to 119,114.57, 164,378.43 and 65,403.07

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Solution

The fourth proportional to 119,114.57, 164,378.43 and 65,403.07 is: 90,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,114.57 : 164,378.43 = 65,403.07 : x
  2. Step 2: Convert to fraction form
    119,114.57/164,378.43 = 65,403.07/x
  3. Step 3: Cross multiply
    119,114.57x = 164,378.43 × 65,403.07
  4. Step 4: Simplify right side
    119,114.57x = 10,750,853,963.78
  5. Step 5: Solve for x
    x = 10,750,853,963.78/119,114.57
  6. Step 6: Final answer
    x = 90,256.41

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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.