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Finding the Fourth Proportional to 257,382.37, 386,122.06 and 97,506.19

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Solution

The fourth proportional to 257,382.37, 386,122.06 and 97,506.19 is: 146,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,382.37 : 386,122.06 = 97,506.19 : x
  2. Step 2: Convert to fraction form
    257,382.37/386,122.06 = 97,506.19/x
  3. Step 3: Cross multiply
    257,382.37x = 386,122.06 × 97,506.19
  4. Step 4: Simplify right side
    257,382.37x = 37,649,290,945.55
  5. Step 5: Solve for x
    x = 37,649,290,945.55/257,382.37
  6. Step 6: Final answer
    x = 146,277.66

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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.