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Finding the Fourth Proportional to 349,451, 524,176.50 and 100,133

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Solution

The fourth proportional to 349,451, 524,176.50 and 100,133 is: 150,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,451 : 524,176.50 = 100,133 : x
  2. Step 2: Convert to fraction form
    349,451/524,176.50 = 100,133/x
  3. Step 3: Cross multiply
    349,451x = 524,176.50 × 100,133
  4. Step 4: Simplify right side
    349,451x = 52,487,365,474.50
  5. Step 5: Solve for x
    x = 52,487,365,474.50/349,451
  6. Step 6: Final answer
    x = 150,199.50

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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.