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Finding the Fourth Proportional to 160,993.48, 241,176.06 and 105,421

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Solution

The fourth proportional to 160,993.48, 241,176.06 and 105,421 is: 157,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,993.48 : 241,176.06 = 105,421 : x
  2. Step 2: Convert to fraction form
    160,993.48/241,176.06 = 105,421/x
  3. Step 3: Cross multiply
    160,993.48x = 241,176.06 × 105,421
  4. Step 4: Simplify right side
    160,993.48x = 25,425,021,421.26
  5. Step 5: Solve for x
    x = 25,425,021,421.26/160,993.48
  6. Step 6: Final answer
    x = 157,925.78

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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.