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Finding the Fourth Proportional to 254,047.18, 380,950.11 and 147,464.03

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Solution

The fourth proportional to 254,047.18, 380,950.11 and 147,464.03 is: 221,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,047.18 : 380,950.11 = 147,464.03 : x
  2. Step 2: Convert to fraction form
    254,047.18/380,950.11 = 147,464.03/x
  3. Step 3: Cross multiply
    254,047.18x = 380,950.11 × 147,464.03
  4. Step 4: Simplify right side
    254,047.18x = 56,176,438,449.54
  5. Step 5: Solve for x
    x = 56,176,438,449.54/254,047.18
  6. Step 6: Final answer
    x = 221,126.01

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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.