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Finding the Fourth Proportional to 283,771.68, 425,782.89 and 148,803.54

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Solution

The fourth proportional to 283,771.68, 425,782.89 and 148,803.54 is: 223,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,771.68 : 425,782.89 = 148,803.54 : x
  2. Step 2: Convert to fraction form
    283,771.68/425,782.89 = 148,803.54/x
  3. Step 3: Cross multiply
    283,771.68x = 425,782.89 × 148,803.54
  4. Step 4: Simplify right side
    283,771.68x = 63,358,001,303.43
  5. Step 5: Solve for x
    x = 63,358,001,303.43/283,771.68
  6. Step 6: Final answer
    x = 223,271.05

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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.