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Finding the Fourth Proportional to 283,904.50, 425,928.75 and 106,412.02

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Solution

The fourth proportional to 283,904.50, 425,928.75 and 106,412.02 is: 159,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,904.50 : 425,928.75 = 106,412.02 : x
  2. Step 2: Convert to fraction form
    283,904.50/425,928.75 = 106,412.02/x
  3. Step 3: Cross multiply
    283,904.50x = 425,928.75 × 106,412.02
  4. Step 4: Simplify right side
    283,904.50x = 45,323,938,663.58
  5. Step 5: Solve for x
    x = 45,323,938,663.58/283,904.50
  6. Step 6: Final answer
    x = 159,645.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.