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Finding the Fourth Proportional to 161,119.20, 241,678.80 and 102,021.60

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Solution

The fourth proportional to 161,119.20, 241,678.80 and 102,021.60 is: 153,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,119.20 : 241,678.80 = 102,021.60 : x
  2. Step 2: Convert to fraction form
    161,119.20/241,678.80 = 102,021.60/x
  3. Step 3: Cross multiply
    161,119.20x = 241,678.80 × 102,021.60
  4. Step 4: Simplify right side
    161,119.20x = 24,656,457,862.08
  5. Step 5: Solve for x
    x = 24,656,457,862.08/161,119.20
  6. Step 6: Final answer
    x = 153,032.40

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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.