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Finding the Fourth Proportional to 202,643.61, 303,971.60 and 69,522.00

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Solution

The fourth proportional to 202,643.61, 303,971.60 and 69,522.00 is: 104,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,643.61 : 303,971.60 = 69,522.00 : x
  2. Step 2: Convert to fraction form
    202,643.61/303,971.60 = 69,522.00/x
  3. Step 3: Cross multiply
    202,643.61x = 303,971.60 × 69,522.00
  4. Step 4: Simplify right side
    202,643.61x = 21,132,712,609.11
  5. Step 5: Solve for x
    x = 21,132,712,609.11/202,643.61
  6. Step 6: Final answer
    x = 104,285.12

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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.