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Finding the Fourth Proportional to 277,005.70, 382,244.90 and 156,176.68

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Solution

The fourth proportional to 277,005.70, 382,244.90 and 156,176.68 is: 215,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,005.70 : 382,244.90 = 156,176.68 : x
  2. Step 2: Convert to fraction form
    277,005.70/382,244.90 = 156,176.68/x
  3. Step 3: Cross multiply
    277,005.70x = 382,244.90 × 156,176.68
  4. Step 4: Simplify right side
    277,005.70x = 59,697,739,428.93
  5. Step 5: Solve for x
    x = 59,697,739,428.93/277,005.70
  6. Step 6: Final answer
    x = 215,510.87

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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.