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Finding the Fourth Proportional to 277,411.38, 382,828.59 and 150,088.02

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Solution

The fourth proportional to 277,411.38, 382,828.59 and 150,088.02 is: 207,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,411.38 : 382,828.59 = 150,088.02 : x
  2. Step 2: Convert to fraction form
    277,411.38/382,828.59 = 150,088.02/x
  3. Step 3: Cross multiply
    277,411.38x = 382,828.59 × 150,088.02
  4. Step 4: Simplify right side
    277,411.38x = 57,457,985,072.49
  5. Step 5: Solve for x
    x = 57,457,985,072.49/277,411.38
  6. Step 6: Final answer
    x = 207,121.95

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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.