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Finding the Fourth Proportional to 214,432, 295,916.40 and 125,025.28

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Solution

The fourth proportional to 214,432, 295,916.40 and 125,025.28 is: 172,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,432 : 295,916.40 = 125,025.28 : x
  2. Step 2: Convert to fraction form
    214,432/295,916.40 = 125,025.28/x
  3. Step 3: Cross multiply
    214,432x = 295,916.40 × 125,025.28
  4. Step 4: Simplify right side
    214,432x = 36,997,030,766.59
  5. Step 5: Solve for x
    x = 36,997,030,766.59/214,432
  6. Step 6: Final answer
    x = 172,535.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.