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Finding the Fourth Proportional to 208,077.74, 287,145.24 and 112,582.34

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Solution

The fourth proportional to 208,077.74, 287,145.24 and 112,582.34 is: 155,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,077.74 : 287,145.24 = 112,582.34 : x
  2. Step 2: Convert to fraction form
    208,077.74/287,145.24 = 112,582.34/x
  3. Step 3: Cross multiply
    208,077.74x = 287,145.24 × 112,582.34
  4. Step 4: Simplify right side
    208,077.74x = 32,327,483,039.06
  5. Step 5: Solve for x
    x = 32,327,483,039.06/208,077.74
  6. Step 6: Final answer
    x = 155,362.52

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