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Finding the Fourth Proportional to 254,465, 381,697.50 and 79,361

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Solution

The fourth proportional to 254,465, 381,697.50 and 79,361 is: 119,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,465 : 381,697.50 = 79,361 : x
  2. Step 2: Convert to fraction form
    254,465/381,697.50 = 79,361/x
  3. Step 3: Cross multiply
    254,465x = 381,697.50 × 79,361
  4. Step 4: Simplify right side
    254,465x = 30,291,895,297.50
  5. Step 5: Solve for x
    x = 30,291,895,297.50/254,465
  6. Step 6: Final answer
    x = 119,041.50

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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.