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Finding the Fourth Proportional to 235,094.40, 352,058.40 and 188,438.40

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Solution

The fourth proportional to 235,094.40, 352,058.40 and 188,438.40 is: 282,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,094.40 : 352,058.40 = 188,438.40 : x
  2. Step 2: Convert to fraction form
    235,094.40/352,058.40 = 188,438.40/x
  3. Step 3: Cross multiply
    235,094.40x = 352,058.40 × 188,438.40
  4. Step 4: Simplify right side
    235,094.40x = 66,341,321,602.56
  5. Step 5: Solve for x
    x = 66,341,321,602.56/235,094.40
  6. Step 6: Final answer
    x = 282,190.14

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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.