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Finding the Fourth Proportional to 212,271.52, 318,395.76 and 64,516

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Solution

The fourth proportional to 212,271.52, 318,395.76 and 64,516 is: 96,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,271.52 : 318,395.76 = 64,516 : x
  2. Step 2: Convert to fraction form
    212,271.52/318,395.76 = 64,516/x
  3. Step 3: Cross multiply
    212,271.52x = 318,395.76 × 64,516
  4. Step 4: Simplify right side
    212,271.52x = 20,541,620,852.16
  5. Step 5: Solve for x
    x = 20,541,620,852.16/212,271.52
  6. Step 6: Final answer
    x = 96,770.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.