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Finding the Fourth Proportional to 295,116.10, 442,904.55 and 137,364.10

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Solution

The fourth proportional to 295,116.10, 442,904.55 and 137,364.10 is: 206,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,116.10 : 442,904.55 = 137,364.10 : x
  2. Step 2: Convert to fraction form
    295,116.10/442,904.55 = 137,364.10/x
  3. Step 3: Cross multiply
    295,116.10x = 442,904.55 × 137,364.10
  4. Step 4: Simplify right side
    295,116.10x = 60,839,184,896.66
  5. Step 5: Solve for x
    x = 60,839,184,896.66/295,116.10
  6. Step 6: Final answer
    x = 206,153.39

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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.