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Finding the Fourth Proportional to 282,433.30, 423,516.30 and 164,140.90

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Solution

The fourth proportional to 282,433.30, 423,516.30 and 164,140.90 is: 246,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,433.30 : 423,516.30 = 164,140.90 : x
  2. Step 2: Convert to fraction form
    282,433.30/423,516.30 = 164,140.90/x
  3. Step 3: Cross multiply
    282,433.30x = 423,516.30 × 164,140.90
  4. Step 4: Simplify right side
    282,433.30x = 69,516,346,646.67
  5. Step 5: Solve for x
    x = 69,516,346,646.67/282,433.30
  6. Step 6: Final answer
    x = 246,133.68

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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.