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Finding the Fourth Proportional to 289,345.20, 434,147.40 and 131,492.40

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Solution

The fourth proportional to 289,345.20, 434,147.40 and 131,492.40 is: 197,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,345.20 : 434,147.40 = 131,492.40 : x
  2. Step 2: Convert to fraction form
    289,345.20/434,147.40 = 131,492.40/x
  3. Step 3: Cross multiply
    289,345.20x = 434,147.40 × 131,492.40
  4. Step 4: Simplify right side
    289,345.20x = 57,087,083,579.76
  5. Step 5: Solve for x
    x = 57,087,083,579.76/289,345.20
  6. Step 6: Final answer
    x = 197,297.50

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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.