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Finding the Fourth Proportional to 282,155.68, 423,265.64 and 102,325.84

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Solution

The fourth proportional to 282,155.68, 423,265.64 and 102,325.84 is: 153,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,155.68 : 423,265.64 = 102,325.84 : x
  2. Step 2: Convert to fraction form
    282,155.68/423,265.64 = 102,325.84/x
  3. Step 3: Cross multiply
    282,155.68x = 423,265.64 × 102,325.84
  4. Step 4: Simplify right side
    282,155.68x = 43,311,012,156.14
  5. Step 5: Solve for x
    x = 43,311,012,156.14/282,155.68
  6. Step 6: Final answer
    x = 153,500.41

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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.