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Finding the Fourth Proportional to 113,436.16, 170,154.48 and 30,328

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Solution

The fourth proportional to 113,436.16, 170,154.48 and 30,328 is: 45,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,436.16 : 170,154.48 = 30,328 : x
  2. Step 2: Convert to fraction form
    113,436.16/170,154.48 = 30,328/x
  3. Step 3: Cross multiply
    113,436.16x = 170,154.48 × 30,328
  4. Step 4: Simplify right side
    113,436.16x = 5,160,445,069.44
  5. Step 5: Solve for x
    x = 5,160,445,069.44/113,436.16
  6. Step 6: Final answer
    x = 45,492.06

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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.