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Finding the Fourth Proportional to 149,485.95, 224,207.06 and 49,643.96

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Solution

The fourth proportional to 149,485.95, 224,207.06 and 49,643.96 is: 74,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,485.95 : 224,207.06 = 49,643.96 : x
  2. Step 2: Convert to fraction form
    149,485.95/224,207.06 = 49,643.96/x
  3. Step 3: Cross multiply
    149,485.95x = 224,207.06 × 49,643.96
  4. Step 4: Simplify right side
    149,485.95x = 11,130,524,949.10
  5. Step 5: Solve for x
    x = 11,130,524,949.10/149,485.95
  6. Step 6: Final answer
    x = 74,458.67

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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.