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Finding the Fourth Proportional to 164,098.85, 245,656.20 and 154,366.70

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Solution

The fourth proportional to 164,098.85, 245,656.20 and 154,366.70 is: 231,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,098.85 : 245,656.20 = 154,366.70 : x
  2. Step 2: Convert to fraction form
    164,098.85/245,656.20 = 154,366.70/x
  3. Step 3: Cross multiply
    164,098.85x = 245,656.20 × 154,366.70
  4. Step 4: Simplify right side
    164,098.85x = 37,921,136,928.54
  5. Step 5: Solve for x
    x = 37,921,136,928.54/164,098.85
  6. Step 6: Final answer
    x = 231,087.16

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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.