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Finding the Fourth Proportional to 102,897.20, 154,259.40 and 53,649.20

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Solution

The fourth proportional to 102,897.20, 154,259.40 and 53,649.20 is: 80,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,897.20 : 154,259.40 = 53,649.20 : x
  2. Step 2: Convert to fraction form
    102,897.20/154,259.40 = 53,649.20/x
  3. Step 3: Cross multiply
    102,897.20x = 154,259.40 × 53,649.20
  4. Step 4: Simplify right side
    102,897.20x = 8,275,893,402.48
  5. Step 5: Solve for x
    x = 8,275,893,402.48/102,897.20
  6. Step 6: Final answer
    x = 80,428.75

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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.