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Finding the Fourth Proportional to 209,830.20, 314,745.30 and 189,094.20

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Solution

The fourth proportional to 209,830.20, 314,745.30 and 189,094.20 is: 283,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,830.20 : 314,745.30 = 189,094.20 : x
  2. Step 2: Convert to fraction form
    209,830.20/314,745.30 = 189,094.20/x
  3. Step 3: Cross multiply
    209,830.20x = 314,745.30 × 189,094.20
  4. Step 4: Simplify right side
    209,830.20x = 59,516,510,707.26
  5. Step 5: Solve for x
    x = 59,516,510,707.26/209,830.20
  6. Step 6: Final answer
    x = 283,641.30

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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.