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Finding the Fourth Proportional to 157,083.98, 216,776.84 and 85,464.52

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Solution

The fourth proportional to 157,083.98, 216,776.84 and 85,464.52 is: 117,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,083.98 : 216,776.84 = 85,464.52 : x
  2. Step 2: Convert to fraction form
    157,083.98/216,776.84 = 85,464.52/x
  3. Step 3: Cross multiply
    157,083.98x = 216,776.84 × 85,464.52
  4. Step 4: Simplify right side
    157,083.98x = 18,526,727,608.45
  5. Step 5: Solve for x
    x = 18,526,727,608.45/157,083.98
  6. Step 6: Final answer
    x = 117,941.55

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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.