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Finding the Fourth Proportional to 109,528.44, 151,145.56 and 61,780

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Solution

The fourth proportional to 109,528.44, 151,145.56 and 61,780 is: 85,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,528.44 : 151,145.56 = 61,780 : x
  2. Step 2: Convert to fraction form
    109,528.44/151,145.56 = 61,780/x
  3. Step 3: Cross multiply
    109,528.44x = 151,145.56 × 61,780
  4. Step 4: Simplify right side
    109,528.44x = 9,337,772,696.80
  5. Step 5: Solve for x
    x = 9,337,772,696.80/109,528.44
  6. Step 6: Final answer
    x = 85,254.32

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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.