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Finding the Fourth Proportional to 158,414.22, 237,055.08 and 137,599.50

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Solution

The fourth proportional to 158,414.22, 237,055.08 and 137,599.50 is: 205,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,414.22 : 237,055.08 = 137,599.50 : x
  2. Step 2: Convert to fraction form
    158,414.22/237,055.08 = 137,599.50/x
  3. Step 3: Cross multiply
    158,414.22x = 237,055.08 × 137,599.50
  4. Step 4: Simplify right side
    158,414.22x = 32,618,660,480.46
  5. Step 5: Solve for x
    x = 32,618,660,480.46/158,414.22
  6. Step 6: Final answer
    x = 205,907.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.