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Finding the Fourth Proportional to 134,909.50, 202,374.24 and 51,803.50

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Solution

The fourth proportional to 134,909.50, 202,374.24 and 51,803.50 is: 77,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,909.50 : 202,374.24 = 51,803.50 : x
  2. Step 2: Convert to fraction form
    134,909.50/202,374.24 = 51,803.50/x
  3. Step 3: Cross multiply
    134,909.50x = 202,374.24 × 51,803.50
  4. Step 4: Simplify right side
    134,909.50x = 10,483,693,941.84
  5. Step 5: Solve for x
    x = 10,483,693,941.84/134,909.50
  6. Step 6: Final answer
    x = 77,709.09

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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.