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Finding the Fourth Proportional to 108,216, 162,390.42 and 45,886.50

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Solution

The fourth proportional to 108,216, 162,390.42 and 45,886.50 is: 68,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,216 : 162,390.42 = 45,886.50 : x
  2. Step 2: Convert to fraction form
    108,216/162,390.42 = 45,886.50/x
  3. Step 3: Cross multiply
    108,216x = 162,390.42 × 45,886.50
  4. Step 4: Simplify right side
    108,216x = 7,451,528,007.33
  5. Step 5: Solve for x
    x = 7,451,528,007.33/108,216
  6. Step 6: Final answer
    x = 68,857.91

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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.