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Finding the Fourth Proportional to 163,305, 244,957.50 and 52,497

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Solution

The fourth proportional to 163,305, 244,957.50 and 52,497 is: 78,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,305 : 244,957.50 = 52,497 : x
  2. Step 2: Convert to fraction form
    163,305/244,957.50 = 52,497/x
  3. Step 3: Cross multiply
    163,305x = 244,957.50 × 52,497
  4. Step 4: Simplify right side
    163,305x = 12,859,533,877.50
  5. Step 5: Solve for x
    x = 12,859,533,877.50/163,305
  6. Step 6: Final answer
    x = 78,745.50

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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.