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Finding the Fourth Proportional to 114,965.20, 172,345.20 and 44,828.20

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Solution

The fourth proportional to 114,965.20, 172,345.20 and 44,828.20 is: 67,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,965.20 : 172,345.20 = 44,828.20 : x
  2. Step 2: Convert to fraction form
    114,965.20/172,345.20 = 44,828.20/x
  3. Step 3: Cross multiply
    114,965.20x = 172,345.20 × 44,828.20
  4. Step 4: Simplify right side
    114,965.20x = 7,725,925,094.64
  5. Step 5: Solve for x
    x = 7,725,925,094.64/114,965.20
  6. Step 6: Final answer
    x = 67,202.29

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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.