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Finding the Fourth Proportional to 207,973.64, 287,016.75 and 117,296.52

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Solution

The fourth proportional to 207,973.64, 287,016.75 and 117,296.52 is: 161,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,973.64 : 287,016.75 = 117,296.52 : x
  2. Step 2: Convert to fraction form
    207,973.64/287,016.75 = 117,296.52/x
  3. Step 3: Cross multiply
    207,973.64x = 287,016.75 × 117,296.52
  4. Step 4: Simplify right side
    207,973.64x = 33,666,065,956.71
  5. Step 5: Solve for x
    x = 33,666,065,956.71/207,973.64
  6. Step 6: Final answer
    x = 161,876.60

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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.