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Finding the Fourth Proportional to 207,161.84, 310,749.46 and 57,403.60

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Solution

The fourth proportional to 207,161.84, 310,749.46 and 57,403.60 is: 86,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,161.84 : 310,749.46 = 57,403.60 : x
  2. Step 2: Convert to fraction form
    207,161.84/310,749.46 = 57,403.60/x
  3. Step 3: Cross multiply
    207,161.84x = 310,749.46 × 57,403.60
  4. Step 4: Simplify right side
    207,161.84x = 17,838,137,702.06
  5. Step 5: Solve for x
    x = 17,838,137,702.06/207,161.84
  6. Step 6: Final answer
    x = 86,107.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.