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Finding the Fourth Proportional to 214,730.40, 322,095.60 and 195,047.40

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Solution

The fourth proportional to 214,730.40, 322,095.60 and 195,047.40 is: 292,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,730.40 : 322,095.60 = 195,047.40 : x
  2. Step 2: Convert to fraction form
    214,730.40/322,095.60 = 195,047.40/x
  3. Step 3: Cross multiply
    214,730.40x = 322,095.60 × 195,047.40
  4. Step 4: Simplify right side
    214,730.40x = 62,823,909,331.44
  5. Step 5: Solve for x
    x = 62,823,909,331.44/214,730.40
  6. Step 6: Final answer
    x = 292,571.10

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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.