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Finding the Fourth Proportional to 195,509.98, 293,255.24 and 114,502.53

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Solution

The fourth proportional to 195,509.98, 293,255.24 and 114,502.53 is: 171,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,509.98 : 293,255.24 = 114,502.53 : x
  2. Step 2: Convert to fraction form
    195,509.98/293,255.24 = 114,502.53/x
  3. Step 3: Cross multiply
    195,509.98x = 293,255.24 × 114,502.53
  4. Step 4: Simplify right side
    195,509.98x = 33,578,466,343.24
  5. Step 5: Solve for x
    x = 33,578,466,343.24/195,509.98
  6. Step 6: Final answer
    x = 171,748.10

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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.