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Finding the Fourth Proportional to 180,645.99, 249,255.54 and 109,029.93

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Solution

The fourth proportional to 180,645.99, 249,255.54 and 109,029.93 is: 150,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,645.99 : 249,255.54 = 109,029.93 : x
  2. Step 2: Convert to fraction form
    180,645.99/249,255.54 = 109,029.93/x
  3. Step 3: Cross multiply
    180,645.99x = 249,255.54 × 109,029.93
  4. Step 4: Simplify right side
    180,645.99x = 27,176,314,078.31
  5. Step 5: Solve for x
    x = 27,176,314,078.31/180,645.99
  6. Step 6: Final answer
    x = 150,439.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.