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Finding the Fourth Proportional to 202,259.70, 302,806.35 and 123,527.70

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Solution

The fourth proportional to 202,259.70, 302,806.35 and 123,527.70 is: 184,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,259.70 : 302,806.35 = 123,527.70 : x
  2. Step 2: Convert to fraction form
    202,259.70/302,806.35 = 123,527.70/x
  3. Step 3: Cross multiply
    202,259.70x = 302,806.35 × 123,527.70
  4. Step 4: Simplify right side
    202,259.70x = 37,404,971,960.90
  5. Step 5: Solve for x
    x = 37,404,971,960.90/202,259.70
  6. Step 6: Final answer
    x = 184,935.37

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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.