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Finding the Fourth Proportional to 103,643.80, 155,271.30 and 96,645.40

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Solution

The fourth proportional to 103,643.80, 155,271.30 and 96,645.40 is: 144,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,643.80 : 155,271.30 = 96,645.40 : x
  2. Step 2: Convert to fraction form
    103,643.80/155,271.30 = 96,645.40/x
  3. Step 3: Cross multiply
    103,643.80x = 155,271.30 × 96,645.40
  4. Step 4: Simplify right side
    103,643.80x = 15,006,256,897.02
  5. Step 5: Solve for x
    x = 15,006,256,897.02/103,643.80
  6. Step 6: Final answer
    x = 144,786.83

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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.