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Finding the Fourth Proportional to 180,662.42, 249,293.97 and 100,069.95

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Solution

The fourth proportional to 180,662.42, 249,293.97 and 100,069.95 is: 138,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,662.42 : 249,293.97 = 100,069.95 : x
  2. Step 2: Convert to fraction form
    180,662.42/249,293.97 = 100,069.95/x
  3. Step 3: Cross multiply
    180,662.42x = 249,293.97 × 100,069.95
  4. Step 4: Simplify right side
    180,662.42x = 24,946,835,113.20
  5. Step 5: Solve for x
    x = 24,946,835,113.20/180,662.42
  6. Step 6: Final answer
    x = 138,085.36

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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.