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Finding the Fourth Proportional to 213,788.46, 295,007.99 and 144,737.47

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Solution

The fourth proportional to 213,788.46, 295,007.99 and 144,737.47 is: 199,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,788.46 : 295,007.99 = 144,737.47 : x
  2. Step 2: Convert to fraction form
    213,788.46/295,007.99 = 144,737.47/x
  3. Step 3: Cross multiply
    213,788.46x = 295,007.99 × 144,737.47
  4. Step 4: Simplify right side
    213,788.46x = 42,698,708,902.19
  5. Step 5: Solve for x
    x = 42,698,708,902.19/213,788.46
  6. Step 6: Final answer
    x = 199,724.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.