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Finding the Fourth Proportional to 219,329.40, 328,994.10 and 114,134.70

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Solution

The fourth proportional to 219,329.40, 328,994.10 and 114,134.70 is: 171,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,329.40 : 328,994.10 = 114,134.70 : x
  2. Step 2: Convert to fraction form
    219,329.40/328,994.10 = 114,134.70/x
  3. Step 3: Cross multiply
    219,329.40x = 328,994.10 × 114,134.70
  4. Step 4: Simplify right side
    219,329.40x = 37,549,642,905.27
  5. Step 5: Solve for x
    x = 37,549,642,905.27/219,329.40
  6. Step 6: Final answer
    x = 171,202.05

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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.