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Finding the Fourth Proportional to 102,254.30, 153,310.27 and 45,297.28

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Solution

The fourth proportional to 102,254.30, 153,310.27 and 45,297.28 is: 67,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,254.30 : 153,310.27 = 45,297.28 : x
  2. Step 2: Convert to fraction form
    102,254.30/153,310.27 = 45,297.28/x
  3. Step 3: Cross multiply
    102,254.30x = 153,310.27 × 45,297.28
  4. Step 4: Simplify right side
    102,254.30x = 6,944,537,528.02
  5. Step 5: Solve for x
    x = 6,944,537,528.02/102,254.30
  6. Step 6: Final answer
    x = 67,914.38

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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.