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Finding the Fourth Proportional to 357,267.42, 535,204.53 and 199,019.34

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Solution

The fourth proportional to 357,267.42, 535,204.53 and 199,019.34 is: 298,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,267.42 : 535,204.53 = 199,019.34 : x
  2. Step 2: Convert to fraction form
    357,267.42/535,204.53 = 199,019.34/x
  3. Step 3: Cross multiply
    357,267.42x = 535,204.53 × 199,019.34
  4. Step 4: Simplify right side
    357,267.42x = 106,516,052,325.61
  5. Step 5: Solve for x
    x = 106,516,052,325.61/357,267.42
  6. Step 6: Final answer
    x = 298,140.96

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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.