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Finding the Fourth Proportional to 282,183, 423,412.89 and 132,435.45

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Solution

The fourth proportional to 282,183, 423,412.89 and 132,435.45 is: 198,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,183 : 423,412.89 = 132,435.45 : x
  2. Step 2: Convert to fraction form
    282,183/423,412.89 = 132,435.45/x
  3. Step 3: Cross multiply
    282,183x = 423,412.89 × 132,435.45
  4. Step 4: Simplify right side
    282,183x = 56,074,876,622.95
  5. Step 5: Solve for x
    x = 56,074,876,622.95/282,183
  6. Step 6: Final answer
    x = 198,718.12

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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.