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Finding the Fourth Proportional to 277,523.19, 382,983.21 and 156,665.93

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Solution

The fourth proportional to 277,523.19, 382,983.21 and 156,665.93 is: 216,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,523.19 : 382,983.21 = 156,665.93 : x
  2. Step 2: Convert to fraction form
    277,523.19/382,983.21 = 156,665.93/x
  3. Step 3: Cross multiply
    277,523.19x = 382,983.21 × 156,665.93
  4. Step 4: Simplify right side
    277,523.19x = 60,000,418,854.12
  5. Step 5: Solve for x
    x = 60,000,418,854.12/277,523.19
  6. Step 6: Final answer
    x = 216,199.66

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1.5x scale

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.