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Finding the Fourth Proportional to 292,084.50, 403,076.63 and 157,948.50

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Solution

The fourth proportional to 292,084.50, 403,076.63 and 157,948.50 is: 217,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,084.50 : 403,076.63 = 157,948.50 : x
  2. Step 2: Convert to fraction form
    292,084.50/403,076.63 = 157,948.50/x
  3. Step 3: Cross multiply
    292,084.50x = 403,076.63 × 157,948.50
  4. Step 4: Simplify right side
    292,084.50x = 63,665,349,093.56
  5. Step 5: Solve for x
    x = 63,665,349,093.56/292,084.50
  6. Step 6: Final answer
    x = 217,968.94

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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.