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Finding the Fourth Proportional to 283,303.21, 424,855.78 and 83,570.59

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Solution

The fourth proportional to 283,303.21, 424,855.78 and 83,570.59 is: 125,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,303.21 : 424,855.78 = 83,570.59 : x
  2. Step 2: Convert to fraction form
    283,303.21/424,855.78 = 83,570.59/x
  3. Step 3: Cross multiply
    283,303.21x = 424,855.78 × 83,570.59
  4. Step 4: Simplify right side
    283,303.21x = 35,505,448,199.51
  5. Step 5: Solve for x
    x = 35,505,448,199.51/283,303.21
  6. Step 6: Final answer
    x = 125,326.67

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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.