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Finding the Fourth Proportional to 102,837.40, 154,256.10 and 47,433.40

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Solution

The fourth proportional to 102,837.40, 154,256.10 and 47,433.40 is: 71,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,837.40 : 154,256.10 = 47,433.40 : x
  2. Step 2: Convert to fraction form
    102,837.40/154,256.10 = 47,433.40/x
  3. Step 3: Cross multiply
    102,837.40x = 154,256.10 × 47,433.40
  4. Step 4: Simplify right side
    102,837.40x = 7,316,891,293.74
  5. Step 5: Solve for x
    x = 7,316,891,293.74/102,837.40
  6. Step 6: Final answer
    x = 71,150.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.