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Finding the Fourth Proportional to 180,549.87, 249,418.35 and 144,203.60

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Solution

The fourth proportional to 180,549.87, 249,418.35 and 144,203.60 is: 199,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,549.87 : 249,418.35 = 144,203.60 : x
  2. Step 2: Convert to fraction form
    180,549.87/249,418.35 = 144,203.60/x
  3. Step 3: Cross multiply
    180,549.87x = 249,418.35 × 144,203.60
  4. Step 4: Simplify right side
    180,549.87x = 35,967,023,976.06
  5. Step 5: Solve for x
    x = 35,967,023,976.06/180,549.87
  6. Step 6: Final answer
    x = 199,208.25

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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.