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Finding the Fourth Proportional to 144,227.88, 216,238.14 and 65,301.48

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Solution

The fourth proportional to 144,227.88, 216,238.14 and 65,301.48 is: 97,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,227.88 : 216,238.14 = 65,301.48 : x
  2. Step 2: Convert to fraction form
    144,227.88/216,238.14 = 65,301.48/x
  3. Step 3: Cross multiply
    144,227.88x = 216,238.14 × 65,301.48
  4. Step 4: Simplify right side
    144,227.88x = 14,120,670,574.45
  5. Step 5: Solve for x
    x = 14,120,670,574.45/144,227.88
  6. Step 6: Final answer
    x = 97,905.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.