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Finding the Fourth Proportional to 207,152.85, 310,735.95 and 57,394.59

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Solution

The fourth proportional to 207,152.85, 310,735.95 and 57,394.59 is: 86,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,152.85 : 310,735.95 = 57,394.59 : x
  2. Step 2: Convert to fraction form
    207,152.85/310,735.95 = 57,394.59/x
  3. Step 3: Cross multiply
    207,152.85x = 310,735.95 × 57,394.59
  4. Step 4: Simplify right side
    207,152.85x = 17,834,562,448.51
  5. Step 5: Solve for x
    x = 17,834,562,448.51/207,152.85
  6. Step 6: Final answer
    x = 86,093.73

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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.