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Finding the Fourth Proportional to 164,077.52, 246,039.24 and 97,526.48

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Solution

The fourth proportional to 164,077.52, 246,039.24 and 97,526.48 is: 146,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,077.52 : 246,039.24 = 97,526.48 : x
  2. Step 2: Convert to fraction form
    164,077.52/246,039.24 = 97,526.48/x
  3. Step 3: Cross multiply
    164,077.52x = 246,039.24 × 97,526.48
  4. Step 4: Simplify right side
    164,077.52x = 23,995,341,019.08
  5. Step 5: Solve for x
    x = 23,995,341,019.08/164,077.52
  6. Step 6: Final answer
    x = 146,243.93

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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.