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Finding the Fourth Proportional to 106,598.30, 149,514.10 and 106,598.30

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Solution

The fourth proportional to 106,598.30, 149,514.10 and 106,598.30 is: 149,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,598.30 : 149,514.10 = 106,598.30 : x
  2. Step 2: Convert to fraction form
    106,598.30/149,514.10 = 106,598.30/x
  3. Step 3: Cross multiply
    106,598.30x = 149,514.10 × 106,598.30
  4. Step 4: Simplify right side
    106,598.30x = 15,937,948,886.03
  5. Step 5: Solve for x
    x = 15,937,948,886.03/106,598.30
  6. Step 6: Final answer
    x = 149,514.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.