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Finding the Fourth Proportional to 277,079.84, 382,362.53 and 156,220.07

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Solution

The fourth proportional to 277,079.84, 382,362.53 and 156,220.07 is: 215,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,079.84 : 382,362.53 = 156,220.07 : x
  2. Step 2: Convert to fraction form
    277,079.84/382,362.53 = 156,220.07/x
  3. Step 3: Cross multiply
    277,079.84x = 382,362.53 × 156,220.07
  4. Step 4: Simplify right side
    277,079.84x = 59,732,698,509.06
  5. Step 5: Solve for x
    x = 59,732,698,509.06/277,079.84
  6. Step 6: Final answer
    x = 215,579.38

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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.