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Finding the Fourth Proportional to 119,017.95, 164,239.28 and 65,301.63

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Solution

The fourth proportional to 119,017.95, 164,239.28 and 65,301.63 is: 90,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,017.95 : 164,239.28 = 65,301.63 : x
  2. Step 2: Convert to fraction form
    119,017.95/164,239.28 = 65,301.63/x
  3. Step 3: Cross multiply
    119,017.95x = 164,239.28 × 65,301.63
  4. Step 4: Simplify right side
    119,017.95x = 10,725,092,367.52
  5. Step 5: Solve for x
    x = 10,725,092,367.52/119,017.95
  6. Step 6: Final answer
    x = 90,113.23

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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.