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Finding the Fourth Proportional to 204,360, 281,973.84 and 119,460.48

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Solution

The fourth proportional to 204,360, 281,973.84 and 119,460.48 is: 164,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,360 : 281,973.84 = 119,460.48 : x
  2. Step 2: Convert to fraction form
    204,360/281,973.84 = 119,460.48/x
  3. Step 3: Cross multiply
    204,360x = 281,973.84 × 119,460.48
  4. Step 4: Simplify right side
    204,360x = 33,684,730,273.84
  5. Step 5: Solve for x
    x = 33,684,730,273.84/204,360
  6. Step 6: Final answer
    x = 164,830.35

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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.