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Finding the Fourth Proportional to 102,649.20, 144,123.60 and 102,649.20

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Solution

The fourth proportional to 102,649.20, 144,123.60 and 102,649.20 is: 144,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,649.20 : 144,123.60 = 102,649.20 : x
  2. Step 2: Convert to fraction form
    102,649.20/144,123.60 = 102,649.20/x
  3. Step 3: Cross multiply
    102,649.20x = 144,123.60 × 102,649.20
  4. Step 4: Simplify right side
    102,649.20x = 14,794,172,241.12
  5. Step 5: Solve for x
    x = 14,794,172,241.12/102,649.20
  6. Step 6: Final answer
    x = 144,123.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.