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Finding the Fourth Proportional to 134,903.76, 202,356.25 and 35,056.88

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Solution

The fourth proportional to 134,903.76, 202,356.25 and 35,056.88 is: 52,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,903.76 : 202,356.25 = 35,056.88 : x
  2. Step 2: Convert to fraction form
    134,903.76/202,356.25 = 35,056.88/x
  3. Step 3: Cross multiply
    134,903.76x = 202,356.25 × 35,056.88
  4. Step 4: Simplify right side
    134,903.76x = 7,093,977,586.43
  5. Step 5: Solve for x
    x = 7,093,977,586.43/134,903.76
  6. Step 6: Final answer
    x = 52,585.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.