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Finding the Fourth Proportional to 277,054.50, 382,335.30 and 157,822.50

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Solution

The fourth proportional to 277,054.50, 382,335.30 and 157,822.50 is: 217,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,054.50 : 382,335.30 = 157,822.50 : x
  2. Step 2: Convert to fraction form
    277,054.50/382,335.30 = 157,822.50/x
  3. Step 3: Cross multiply
    277,054.50x = 382,335.30 × 157,822.50
  4. Step 4: Simplify right side
    277,054.50x = 60,341,112,884.25
  5. Step 5: Solve for x
    x = 60,341,112,884.25/277,054.50
  6. Step 6: Final answer
    x = 217,795.10

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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.