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Finding the Fourth Proportional to 212,702.96, 318,975 and 70,522.16

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Solution

The fourth proportional to 212,702.96, 318,975 and 70,522.16 is: 105,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,702.96 : 318,975 = 70,522.16 : x
  2. Step 2: Convert to fraction form
    212,702.96/318,975 = 70,522.16/x
  3. Step 3: Cross multiply
    212,702.96x = 318,975 × 70,522.16
  4. Step 4: Simplify right side
    212,702.96x = 22,494,805,986
  5. Step 5: Solve for x
    x = 22,494,805,986/212,702.96
  6. Step 6: Final answer
    x = 105,756.90

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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.