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Finding the Fourth Proportional to 102,948.02, 140,771.02 and 102,948.02

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Solution

The fourth proportional to 102,948.02, 140,771.02 and 102,948.02 is: 140,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,948.02 : 140,771.02 = 102,948.02 : x
  2. Step 2: Convert to fraction form
    102,948.02/140,771.02 = 102,948.02/x
  3. Step 3: Cross multiply
    102,948.02x = 140,771.02 × 102,948.02
  4. Step 4: Simplify right side
    102,948.02x = 14,492,097,782.38
  5. Step 5: Solve for x
    x = 14,492,097,782.38/102,948.02
  6. Step 6: Final answer
    x = 140,771.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.