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Finding the Fourth Proportional to 180,796.36, 249,472.80 and 100,223.88

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Solution

The fourth proportional to 180,796.36, 249,472.80 and 100,223.88 is: 138,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,796.36 : 249,472.80 = 100,223.88 : x
  2. Step 2: Convert to fraction form
    180,796.36/249,472.80 = 100,223.88/x
  3. Step 3: Cross multiply
    180,796.36x = 249,472.80 × 100,223.88
  4. Step 4: Simplify right side
    180,796.36x = 25,003,131,970.46
  5. Step 5: Solve for x
    x = 25,003,131,970.46/180,796.36
  6. Step 6: Final answer
    x = 138,294.44

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1.5x scale

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.