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Finding the Fourth Proportional to 277,042.50, 382,318.74 and 157,810.50

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Solution

The fourth proportional to 277,042.50, 382,318.74 and 157,810.50 is: 217,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,042.50 : 382,318.74 = 157,810.50 : x
  2. Step 2: Convert to fraction form
    277,042.50/382,318.74 = 157,810.50/x
  3. Step 3: Cross multiply
    277,042.50x = 382,318.74 × 157,810.50
  4. Step 4: Simplify right side
    277,042.50x = 60,333,911,518.77
  5. Step 5: Solve for x
    x = 60,333,911,518.77/277,042.50
  6. Step 6: Final answer
    x = 217,778.54

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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.