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Finding the Fourth Proportional to 282,609.01, 423,879.64 and 93,022.24

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Solution

The fourth proportional to 282,609.01, 423,879.64 and 93,022.24 is: 139,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,609.01 : 423,879.64 = 93,022.24 : x
  2. Step 2: Convert to fraction form
    282,609.01/423,879.64 = 93,022.24/x
  3. Step 3: Cross multiply
    282,609.01x = 423,879.64 × 93,022.24
  4. Step 4: Simplify right side
    282,609.01x = 39,430,233,603.19
  5. Step 5: Solve for x
    x = 39,430,233,603.19/282,609.01
  6. Step 6: Final answer
    x = 139,522.21

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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.