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Finding the Fourth Proportional to 180,843.74, 249,590.19 and 100,289.18

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Solution

The fourth proportional to 180,843.74, 249,590.19 and 100,289.18 is: 138,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,843.74 : 249,590.19 = 100,289.18 : x
  2. Step 2: Convert to fraction form
    180,843.74/249,590.19 = 100,289.18/x
  3. Step 3: Cross multiply
    180,843.74x = 249,590.19 × 100,289.18
  4. Step 4: Simplify right side
    180,843.74x = 25,031,195,491.14
  5. Step 5: Solve for x
    x = 25,031,195,491.14/180,843.74
  6. Step 6: Final answer
    x = 138,413.39

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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.