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Finding the Fourth Proportional to 208,526.73, 287,764.92 and 116,645.01

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Solution

The fourth proportional to 208,526.73, 287,764.92 and 116,645.01 is: 160,969.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,526.73 : 287,764.92 = 116,645.01 : x
  2. Step 2: Convert to fraction form
    208,526.73/287,764.92 = 116,645.01/x
  3. Step 3: Cross multiply
    208,526.73x = 287,764.92 × 116,645.01
  4. Step 4: Simplify right side
    208,526.73x = 33,566,341,971.05
  5. Step 5: Solve for x
    x = 33,566,341,971.05/208,526.73
  6. Step 6: Final answer
    x = 160,969.01

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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.