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Finding the Fourth Proportional to 162,564.32, 243,916.54 and 67,813.15

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Solution

The fourth proportional to 162,564.32, 243,916.54 and 67,813.15 is: 101,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,564.32 : 243,916.54 = 67,813.15 : x
  2. Step 2: Convert to fraction form
    162,564.32/243,916.54 = 67,813.15/x
  3. Step 3: Cross multiply
    162,564.32x = 243,916.54 × 67,813.15
  4. Step 4: Simplify right side
    162,564.32x = 16,540,748,783.24
  5. Step 5: Solve for x
    x = 16,540,748,783.24/162,564.32
  6. Step 6: Final answer
    x = 101,748.95

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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.