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Finding the Fourth Proportional to 357,433.86, 535,993.32 and 167,948.12

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Solution

The fourth proportional to 357,433.86, 535,993.32 and 167,948.12 is: 251,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,433.86 : 535,993.32 = 167,948.12 : x
  2. Step 2: Convert to fraction form
    357,433.86/535,993.32 = 167,948.12/x
  3. Step 3: Cross multiply
    357,433.86x = 535,993.32 × 167,948.12
  4. Step 4: Simplify right side
    357,433.86x = 90,019,070,426.56
  5. Step 5: Solve for x
    x = 90,019,070,426.56/357,433.86
  6. Step 6: Final answer
    x = 251,848.19

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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.