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Finding the Fourth Proportional to 292,046.16, 438,253.52 and 114,548.44

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Solution

The fourth proportional to 292,046.16, 438,253.52 and 114,548.44 is: 171,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,046.16 : 438,253.52 = 114,548.44 : x
  2. Step 2: Convert to fraction form
    292,046.16/438,253.52 = 114,548.44/x
  3. Step 3: Cross multiply
    292,046.16x = 438,253.52 × 114,548.44
  4. Step 4: Simplify right side
    292,046.16x = 50,201,257,040.51
  5. Step 5: Solve for x
    x = 50,201,257,040.51/292,046.16
  6. Step 6: Final answer
    x = 171,894.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.