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Finding the Fourth Proportional to 203,461.70, 305,106.15 and 98,312.90

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Solution

The fourth proportional to 203,461.70, 305,106.15 and 98,312.90 is: 147,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,461.70 : 305,106.15 = 98,312.90 : x
  2. Step 2: Convert to fraction form
    203,461.70/305,106.15 = 98,312.90/x
  3. Step 3: Cross multiply
    203,461.70x = 305,106.15 × 98,312.90
  4. Step 4: Simplify right side
    203,461.70x = 29,995,870,414.34
  5. Step 5: Solve for x
    x = 29,995,870,414.34/203,461.70
  6. Step 6: Final answer
    x = 147,427.60

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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.