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Finding the Fourth Proportional to 144,615.40, 216,923.10 and 82,407.40

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Solution

The fourth proportional to 144,615.40, 216,923.10 and 82,407.40 is: 123,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,615.40 : 216,923.10 = 82,407.40 : x
  2. Step 2: Convert to fraction form
    144,615.40/216,923.10 = 82,407.40/x
  3. Step 3: Cross multiply
    144,615.40x = 216,923.10 × 82,407.40
  4. Step 4: Simplify right side
    144,615.40x = 17,876,068,670.94
  5. Step 5: Solve for x
    x = 17,876,068,670.94/144,615.40
  6. Step 6: Final answer
    x = 123,611.10

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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.