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Finding the Fourth Proportional to 157,084.51, 235,648.65 and 50,471.68

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Solution

The fourth proportional to 157,084.51, 235,648.65 and 50,471.68 is: 75,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,084.51 : 235,648.65 = 50,471.68 : x
  2. Step 2: Convert to fraction form
    157,084.51/235,648.65 = 50,471.68/x
  3. Step 3: Cross multiply
    157,084.51x = 235,648.65 × 50,471.68
  4. Step 4: Simplify right side
    157,084.51x = 11,893,583,255.23
  5. Step 5: Solve for x
    x = 11,893,583,255.23/157,084.51
  6. Step 6: Final answer
    x = 75,714.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.