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Finding the Fourth Proportional to 164,103.45, 245,663.10 and 97,509.30

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Solution

The fourth proportional to 164,103.45, 245,663.10 and 97,509.30 is: 145,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,103.45 : 245,663.10 = 97,509.30 : x
  2. Step 2: Convert to fraction form
    164,103.45/245,663.10 = 97,509.30/x
  3. Step 3: Cross multiply
    164,103.45x = 245,663.10 × 97,509.30
  4. Step 4: Simplify right side
    164,103.45x = 23,954,436,916.83
  5. Step 5: Solve for x
    x = 23,954,436,916.83/164,103.45
  6. Step 6: Final answer
    x = 145,971.56

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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.