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Finding the Fourth Proportional to 208,167.94, 312,263.06 and 66,024.01

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Solution

The fourth proportional to 208,167.94, 312,263.06 and 66,024.01 is: 99,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,167.94 : 312,263.06 = 66,024.01 : x
  2. Step 2: Convert to fraction form
    208,167.94/312,263.06 = 66,024.01/x
  3. Step 3: Cross multiply
    208,167.94x = 312,263.06 × 66,024.01
  4. Step 4: Simplify right side
    208,167.94x = 20,616,859,396.07
  5. Step 5: Solve for x
    x = 20,616,859,396.07/208,167.94
  6. Step 6: Final answer
    x = 99,039.55

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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.