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Finding the Fourth Proportional to 224,803.56, 310,293.54 and 148,378.44

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Solution

The fourth proportional to 224,803.56, 310,293.54 and 148,378.44 is: 204,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,803.56 : 310,293.54 = 148,378.44 : x
  2. Step 2: Convert to fraction form
    224,803.56/310,293.54 = 148,378.44/x
  3. Step 3: Cross multiply
    224,803.56x = 310,293.54 × 148,378.44
  4. Step 4: Simplify right side
    224,803.56x = 46,040,871,407.28
  5. Step 5: Solve for x
    x = 46,040,871,407.28/224,803.56
  6. Step 6: Final answer
    x = 204,804.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.