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Finding the Fourth Proportional to 283,666.50, 425,572.65 and 106,176.06

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Solution

The fourth proportional to 283,666.50, 425,572.65 and 106,176.06 is: 159,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,666.50 : 425,572.65 = 106,176.06 : x
  2. Step 2: Convert to fraction form
    283,666.50/425,572.65 = 106,176.06/x
  3. Step 3: Cross multiply
    283,666.50x = 425,572.65 × 106,176.06
  4. Step 4: Simplify right side
    283,666.50x = 45,185,627,220.76
  5. Step 5: Solve for x
    x = 45,185,627,220.76/283,666.50
  6. Step 6: Final answer
    x = 159,291.38

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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.