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Finding the Fourth Proportional to 145,357.90, 200,548.82 and 84,884.92

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Solution

The fourth proportional to 145,357.90, 200,548.82 and 84,884.92 is: 117,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,357.90 : 200,548.82 = 84,884.92 : x
  2. Step 2: Convert to fraction form
    145,357.90/200,548.82 = 84,884.92/x
  3. Step 3: Cross multiply
    145,357.90x = 200,548.82 × 84,884.92
  4. Step 4: Simplify right side
    145,357.90x = 17,023,570,541.79
  5. Step 5: Solve for x
    x = 17,023,570,541.79/145,357.90
  6. Step 6: Final answer
    x = 117,114.86

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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.