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Finding the Fourth Proportional to 164,411.44, 246,624.33 and 52,099.93

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Solution

The fourth proportional to 164,411.44, 246,624.33 and 52,099.93 is: 78,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,411.44 : 246,624.33 = 52,099.93 : x
  2. Step 2: Convert to fraction form
    164,411.44/246,624.33 = 52,099.93/x
  3. Step 3: Cross multiply
    164,411.44x = 246,624.33 × 52,099.93
  4. Step 4: Simplify right side
    164,411.44x = 12,849,110,329.30
  5. Step 5: Solve for x
    x = 12,849,110,329.30/164,411.44
  6. Step 6: Final answer
    x = 78,152.17

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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.