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Finding the Fourth Proportional to 210,466.92, 315,284.04 and 110,477.28

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Solution

The fourth proportional to 210,466.92, 315,284.04 and 110,477.28 is: 165,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,466.92 : 315,284.04 = 110,477.28 : x
  2. Step 2: Convert to fraction form
    210,466.92/315,284.04 = 110,477.28/x
  3. Step 3: Cross multiply
    210,466.92x = 315,284.04 × 110,477.28
  4. Step 4: Simplify right side
    210,466.92x = 34,831,723,166.61
  5. Step 5: Solve for x
    x = 34,831,723,166.61/210,466.92
  6. Step 6: Final answer
    x = 165,497.38

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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.