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Finding the Fourth Proportional to 180,632, 249,272.16 and 101,144

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Solution

The fourth proportional to 180,632, 249,272.16 and 101,144 is: 139,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,632 : 249,272.16 = 101,144 : x
  2. Step 2: Convert to fraction form
    180,632/249,272.16 = 101,144/x
  3. Step 3: Cross multiply
    180,632x = 249,272.16 × 101,144
  4. Step 4: Simplify right side
    180,632x = 25,212,383,351.04
  5. Step 5: Solve for x
    x = 25,212,383,351.04/180,632
  6. Step 6: Final answer
    x = 139,578.72

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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.