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Finding the Fourth Proportional to 392,121, 588,181.50 and 96,633

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Solution

The fourth proportional to 392,121, 588,181.50 and 96,633 is: 144,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,121 : 588,181.50 = 96,633 : x
  2. Step 2: Convert to fraction form
    392,121/588,181.50 = 96,633/x
  3. Step 3: Cross multiply
    392,121x = 588,181.50 × 96,633
  4. Step 4: Simplify right side
    392,121x = 56,837,742,889.50
  5. Step 5: Solve for x
    x = 56,837,742,889.50/392,121
  6. Step 6: Final answer
    x = 144,949.50

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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.