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Finding the Fourth Proportional to 161,004.48, 241,192.56 and 105,432

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Solution

The fourth proportional to 161,004.48, 241,192.56 and 105,432 is: 157,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,004.48 : 241,192.56 = 105,432 : x
  2. Step 2: Convert to fraction form
    161,004.48/241,192.56 = 105,432/x
  3. Step 3: Cross multiply
    161,004.48x = 241,192.56 × 105,432
  4. Step 4: Simplify right side
    161,004.48x = 25,429,413,985.92
  5. Step 5: Solve for x
    x = 25,429,413,985.92/161,004.48
  6. Step 6: Final answer
    x = 157,942.28

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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.