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Finding the Fourth Proportional to 292,198.58, 438,120.47 and 114,492.68

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Solution

The fourth proportional to 292,198.58, 438,120.47 and 114,492.68 is: 171,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,198.58 : 438,120.47 = 114,492.68 : x
  2. Step 2: Convert to fraction form
    292,198.58/438,120.47 = 114,492.68/x
  3. Step 3: Cross multiply
    292,198.58x = 438,120.47 × 114,492.68
  4. Step 4: Simplify right side
    292,198.58x = 50,161,584,010.09
  5. Step 5: Solve for x
    x = 50,161,584,010.09/292,198.58
  6. Step 6: Final answer
    x = 171,669.50

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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.