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Finding the Fourth Proportional to 207,967.19, 287,030.03 and 117,348.84

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Solution

The fourth proportional to 207,967.19, 287,030.03 and 117,348.84 is: 161,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,967.19 : 287,030.03 = 117,348.84 : x
  2. Step 2: Convert to fraction form
    207,967.19/287,030.03 = 117,348.84/x
  3. Step 3: Cross multiply
    207,967.19x = 287,030.03 × 117,348.84
  4. Step 4: Simplify right side
    207,967.19x = 33,682,640,478.92
  5. Step 5: Solve for x
    x = 33,682,640,478.92/207,967.19
  6. Step 6: Final answer
    x = 161,961.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.