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Finding the Fourth Proportional to 277,024.67, 382,271.11 and 156,195.66

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Solution

The fourth proportional to 277,024.67, 382,271.11 and 156,195.66 is: 215,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,024.67 : 382,271.11 = 156,195.66 : x
  2. Step 2: Convert to fraction form
    277,024.67/382,271.11 = 156,195.66/x
  3. Step 3: Cross multiply
    277,024.67x = 382,271.11 × 156,195.66
  4. Step 4: Simplify right side
    277,024.67x = 59,709,088,325.38
  5. Step 5: Solve for x
    x = 59,709,088,325.38/277,024.67
  6. Step 6: Final answer
    x = 215,537.08

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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.