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Finding the Fourth Proportional to 164,649.82, 246,975.90 and 46,333.12

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Solution

The fourth proportional to 164,649.82, 246,975.90 and 46,333.12 is: 69,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,649.82 : 246,975.90 = 46,333.12 : x
  2. Step 2: Convert to fraction form
    164,649.82/246,975.90 = 46,333.12/x
  3. Step 3: Cross multiply
    164,649.82x = 246,975.90 × 46,333.12
  4. Step 4: Simplify right side
    164,649.82x = 11,443,164,011.81
  5. Step 5: Solve for x
    x = 11,443,164,011.81/164,649.82
  6. Step 6: Final answer
    x = 69,500.01

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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.