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Finding the Fourth Proportional to 201,713.70, 302,570.55 and 103,409.70

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Solution

The fourth proportional to 201,713.70, 302,570.55 and 103,409.70 is: 155,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,713.70 : 302,570.55 = 103,409.70 : x
  2. Step 2: Convert to fraction form
    201,713.70/302,570.55 = 103,409.70/x
  3. Step 3: Cross multiply
    201,713.70x = 302,570.55 × 103,409.70
  4. Step 4: Simplify right side
    201,713.70x = 31,288,729,804.34
  5. Step 5: Solve for x
    x = 31,288,729,804.34/201,713.70
  6. Step 6: Final answer
    x = 155,114.55

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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.