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Finding the Fourth Proportional to 194,980.32, 292,469.71 and 61,870.96

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Solution

The fourth proportional to 194,980.32, 292,469.71 and 61,870.96 is: 92,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,980.32 : 292,469.71 = 61,870.96 : x
  2. Step 2: Convert to fraction form
    194,980.32/292,469.71 = 61,870.96/x
  3. Step 3: Cross multiply
    194,980.32x = 292,469.71 × 61,870.96
  4. Step 4: Simplify right side
    194,980.32x = 18,095,380,410.40
  5. Step 5: Solve for x
    x = 18,095,380,410.40/194,980.32
  6. Step 6: Final answer
    x = 92,806.19

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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.