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Finding the Fourth Proportional to 277,182.48, 382,509.96 and 156,324.81

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Solution

The fourth proportional to 277,182.48, 382,509.96 and 156,324.81 is: 215,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,182.48 : 382,509.96 = 156,324.81 : x
  2. Step 2: Convert to fraction form
    277,182.48/382,509.96 = 156,324.81/x
  3. Step 3: Cross multiply
    277,182.48x = 382,509.96 × 156,324.81
  4. Step 4: Simplify right side
    277,182.48x = 59,795,796,820.11
  5. Step 5: Solve for x
    x = 59,795,796,820.11/277,182.48
  6. Step 6: Final answer
    x = 215,727.19

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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.