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Finding the Fourth Proportional to 180,867, 249,596.46 and 101,379

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Solution

The fourth proportional to 180,867, 249,596.46 and 101,379 is: 139,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,867 : 249,596.46 = 101,379 : x
  2. Step 2: Convert to fraction form
    180,867/249,596.46 = 101,379/x
  3. Step 3: Cross multiply
    180,867x = 249,596.46 × 101,379
  4. Step 4: Simplify right side
    180,867x = 25,303,839,518.34
  5. Step 5: Solve for x
    x = 25,303,839,518.34/180,867
  6. Step 6: Final answer
    x = 139,903.02

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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.