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Finding the Fourth Proportional to 164,233.45, 245,858.10 and 97,639.30

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Solution

The fourth proportional to 164,233.45, 245,858.10 and 97,639.30 is: 146,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,233.45 : 245,858.10 = 97,639.30 : x
  2. Step 2: Convert to fraction form
    164,233.45/245,858.10 = 97,639.30/x
  3. Step 3: Cross multiply
    164,233.45x = 245,858.10 × 97,639.30
  4. Step 4: Simplify right side
    164,233.45x = 24,005,412,783.33
  5. Step 5: Solve for x
    x = 24,005,412,783.33/164,233.45
  6. Step 6: Final answer
    x = 146,166.40

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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.