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Finding the Fourth Proportional to 377,045.54, 565,838.16 and 137,159

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Solution

The fourth proportional to 377,045.54, 565,838.16 and 137,159 is: 205,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,045.54 : 565,838.16 = 137,159 : x
  2. Step 2: Convert to fraction form
    377,045.54/565,838.16 = 137,159/x
  3. Step 3: Cross multiply
    377,045.54x = 565,838.16 × 137,159
  4. Step 4: Simplify right side
    377,045.54x = 77,609,796,187.44
  5. Step 5: Solve for x
    x = 77,609,796,187.44/377,045.54
  6. Step 6: Final answer
    x = 205,836.66

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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.