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Finding the Fourth Proportional to 289,083.80, 433,625.70 and 102,114.20

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Solution

The fourth proportional to 289,083.80, 433,625.70 and 102,114.20 is: 153,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,083.80 : 433,625.70 = 102,114.20 : x
  2. Step 2: Convert to fraction form
    289,083.80/433,625.70 = 102,114.20/x
  3. Step 3: Cross multiply
    289,083.80x = 433,625.70 × 102,114.20
  4. Step 4: Simplify right side
    289,083.80x = 44,279,341,454.94
  5. Step 5: Solve for x
    x = 44,279,341,454.94/289,083.80
  6. Step 6: Final answer
    x = 153,171.30

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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.