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Finding the Fourth Proportional to 163,035.20, 228,664 and 163,035.20

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Solution

The fourth proportional to 163,035.20, 228,664 and 163,035.20 is: 228,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,035.20 : 228,664 = 163,035.20 : x
  2. Step 2: Convert to fraction form
    163,035.20/228,664 = 163,035.20/x
  3. Step 3: Cross multiply
    163,035.20x = 228,664 × 163,035.20
  4. Step 4: Simplify right side
    163,035.20x = 37,280,280,972.80
  5. Step 5: Solve for x
    x = 37,280,280,972.80/163,035.20
  6. Step 6: Final answer
    x = 228,664

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.