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Finding the Fourth Proportional to 277,838.65, 383,417.27 and 150,514.21

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Solution

The fourth proportional to 277,838.65, 383,417.27 and 150,514.21 is: 207,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,838.65 : 383,417.27 = 150,514.21 : x
  2. Step 2: Convert to fraction form
    277,838.65/383,417.27 = 150,514.21/x
  3. Step 3: Cross multiply
    277,838.65x = 383,417.27 × 150,514.21
  4. Step 4: Simplify right side
    277,838.65x = 57,709,746,741.84
  5. Step 5: Solve for x
    x = 57,709,746,741.84/277,838.65
  6. Step 6: Final answer
    x = 207,709.57

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