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Finding the Fourth Proportional to 202,333.55, 303,686.67 and 102,564.50

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Solution

The fourth proportional to 202,333.55, 303,686.67 and 102,564.50 is: 153,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,333.55 : 303,686.67 = 102,564.50 : x
  2. Step 2: Convert to fraction form
    202,333.55/303,686.67 = 102,564.50/x
  3. Step 3: Cross multiply
    202,333.55x = 303,686.67 × 102,564.50
  4. Step 4: Simplify right side
    202,333.55x = 31,147,471,465.22
  5. Step 5: Solve for x
    x = 31,147,471,465.22/202,333.55
  6. Step 6: Final answer
    x = 153,941.21

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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.