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Finding the Fourth Proportional to 305,166.66, 457,731.53 and 136,641.72

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Solution

The fourth proportional to 305,166.66, 457,731.53 and 136,641.72 is: 204,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,166.66 : 457,731.53 = 136,641.72 : x
  2. Step 2: Convert to fraction form
    305,166.66/457,731.53 = 136,641.72/x
  3. Step 3: Cross multiply
    305,166.66x = 457,731.53 × 136,641.72
  4. Step 4: Simplify right side
    305,166.66x = 62,545,223,557.43
  5. Step 5: Solve for x
    x = 62,545,223,557.43/305,166.66
  6. Step 6: Final answer
    x = 204,954.31

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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.