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Finding the Fourth Proportional to 224,487.21, 309,843.06 and 152,895.75

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Solution

The fourth proportional to 224,487.21, 309,843.06 and 152,895.75 is: 211,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,487.21 : 309,843.06 = 152,895.75 : x
  2. Step 2: Convert to fraction form
    224,487.21/309,843.06 = 152,895.75/x
  3. Step 3: Cross multiply
    224,487.21x = 309,843.06 × 152,895.75
  4. Step 4: Simplify right side
    224,487.21x = 47,373,687,041.00
  5. Step 5: Solve for x
    x = 47,373,687,041.00/224,487.21
  6. Step 6: Final answer
    x = 211,030.67

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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.