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Finding the Fourth Proportional to 141,846.60, 212,478.30 and 97,523.40

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Solution

The fourth proportional to 141,846.60, 212,478.30 and 97,523.40 is: 146,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,846.60 : 212,478.30 = 97,523.40 : x
  2. Step 2: Convert to fraction form
    141,846.60/212,478.30 = 97,523.40/x
  3. Step 3: Cross multiply
    141,846.60x = 212,478.30 × 97,523.40
  4. Step 4: Simplify right side
    141,846.60x = 20,721,606,242.22
  5. Step 5: Solve for x
    x = 20,721,606,242.22/141,846.60
  6. Step 6: Final answer
    x = 146,084.62

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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.