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Finding the Fourth Proportional to 103,202.20, 154,803.30 and 61,730.20

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Solution

The fourth proportional to 103,202.20, 154,803.30 and 61,730.20 is: 92,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202.20 : 154,803.30 = 61,730.20 : x
  2. Step 2: Convert to fraction form
    103,202.20/154,803.30 = 61,730.20/x
  3. Step 3: Cross multiply
    103,202.20x = 154,803.30 × 61,730.20
  4. Step 4: Simplify right side
    103,202.20x = 9,556,038,669.66
  5. Step 5: Solve for x
    x = 9,556,038,669.66/103,202.20
  6. Step 6: Final answer
    x = 92,595.30

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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.