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Finding the Fourth Proportional to 164,098.35, 245,655.45 and 154,366.20

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Solution

The fourth proportional to 164,098.35, 245,655.45 and 154,366.20 is: 231,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,098.35 : 245,655.45 = 154,366.20 : x
  2. Step 2: Convert to fraction form
    164,098.35/245,655.45 = 154,366.20/x
  3. Step 3: Cross multiply
    164,098.35x = 245,655.45 × 154,366.20
  4. Step 4: Simplify right side
    164,098.35x = 37,920,898,325.79
  5. Step 5: Solve for x
    x = 37,920,898,325.79/164,098.35
  6. Step 6: Final answer
    x = 231,086.41

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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.