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Finding the Fourth Proportional to 145,323.60, 200,523.24 and 81,661.20

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Solution

The fourth proportional to 145,323.60, 200,523.24 and 81,661.20 is: 112,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,323.60 : 200,523.24 = 81,661.20 : x
  2. Step 2: Convert to fraction form
    145,323.60/200,523.24 = 81,661.20/x
  3. Step 3: Cross multiply
    145,323.60x = 200,523.24 × 81,661.20
  4. Step 4: Simplify right side
    145,323.60x = 16,374,968,406.29
  5. Step 5: Solve for x
    x = 16,374,968,406.29/145,323.60
  6. Step 6: Final answer
    x = 112,679.35

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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.