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Finding the Fourth Proportional to 99,202.32, 136,847.88 and 61,410.96

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Solution

The fourth proportional to 99,202.32, 136,847.88 and 61,410.96 is: 84,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,202.32 : 136,847.88 = 61,410.96 : x
  2. Step 2: Convert to fraction form
    99,202.32/136,847.88 = 61,410.96/x
  3. Step 3: Cross multiply
    99,202.32x = 136,847.88 × 61,410.96
  4. Step 4: Simplify right side
    99,202.32x = 8,403,959,684.76
  5. Step 5: Solve for x
    x = 8,403,959,684.76/99,202.32
  6. Step 6: Final answer
    x = 84,715.35

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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.