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Finding the Fourth Proportional to 357,077.34, 535,755.47 and 157,257.32

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Solution

The fourth proportional to 357,077.34, 535,755.47 and 157,257.32 is: 235,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,077.34 : 535,755.47 = 157,257.32 : x
  2. Step 2: Convert to fraction form
    357,077.34/535,755.47 = 157,257.32/x
  3. Step 3: Cross multiply
    357,077.34x = 535,755.47 × 157,257.32
  4. Step 4: Simplify right side
    357,077.34x = 84,251,465,922.48
  5. Step 5: Solve for x
    x = 84,251,465,922.48/357,077.34
  6. Step 6: Final answer
    x = 235,947.39

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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.