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Finding the Fourth Proportional to 151,803.64, 227,729.94 and 57,041.20

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Solution

The fourth proportional to 151,803.64, 227,729.94 and 57,041.20 is: 85,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,803.64 : 227,729.94 = 57,041.20 : x
  2. Step 2: Convert to fraction form
    151,803.64/227,729.94 = 57,041.20/x
  3. Step 3: Cross multiply
    151,803.64x = 227,729.94 × 57,041.20
  4. Step 4: Simplify right side
    151,803.64x = 12,989,989,053.53
  5. Step 5: Solve for x
    x = 12,989,989,053.53/151,803.64
  6. Step 6: Final answer
    x = 85,571.00

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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.