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Finding the Fourth Proportional to 283,756.30, 425,759.83 and 148,788.16

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Solution

The fourth proportional to 283,756.30, 425,759.83 and 148,788.16 is: 223,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,756.30 : 425,759.83 = 148,788.16 : x
  2. Step 2: Convert to fraction form
    283,756.30/425,759.83 = 148,788.16/x
  3. Step 3: Cross multiply
    283,756.30x = 425,759.83 × 148,788.16
  4. Step 4: Simplify right side
    283,756.30x = 63,348,020,271.24
  5. Step 5: Solve for x
    x = 63,348,020,271.24/283,756.30
  6. Step 6: Final answer
    x = 223,247.98

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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.