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Finding the Fourth Proportional to 277,719.96, 383,252.96 and 150,395.16

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Solution

The fourth proportional to 277,719.96, 383,252.96 and 150,395.16 is: 207,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,719.96 : 383,252.96 = 150,395.16 : x
  2. Step 2: Convert to fraction form
    277,719.96/383,252.96 = 150,395.16/x
  3. Step 3: Cross multiply
    277,719.96x = 383,252.96 × 150,395.16
  4. Step 4: Simplify right side
    277,719.96x = 57,639,390,239.67
  5. Step 5: Solve for x
    x = 57,639,390,239.67/277,719.96
  6. Step 6: Final answer
    x = 207,545.00

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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.