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Finding the Fourth Proportional to 216,098.20, 323,999.70 and 97,705

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Solution

The fourth proportional to 216,098.20, 323,999.70 and 97,705 is: 146,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,098.20 : 323,999.70 = 97,705 : x
  2. Step 2: Convert to fraction form
    216,098.20/323,999.70 = 97,705/x
  3. Step 3: Cross multiply
    216,098.20x = 323,999.70 × 97,705
  4. Step 4: Simplify right side
    216,098.20x = 31,656,390,688.50
  5. Step 5: Solve for x
    x = 31,656,390,688.50/216,098.20
  6. Step 6: Final answer
    x = 146,490.77

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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.