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Finding the Fourth Proportional to 183,570.96, 275,345.16 and 109,164.60

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Solution

The fourth proportional to 183,570.96, 275,345.16 and 109,164.60 is: 163,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,570.96 : 275,345.16 = 109,164.60 : x
  2. Step 2: Convert to fraction form
    183,570.96/275,345.16 = 109,164.60/x
  3. Step 3: Cross multiply
    183,570.96x = 275,345.16 × 109,164.60
  4. Step 4: Simplify right side
    183,570.96x = 30,057,944,253.34
  5. Step 5: Solve for x
    x = 30,057,944,253.34/183,570.96
  6. Step 6: Final answer
    x = 163,740.19

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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.