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Finding the Fourth Proportional to 154,097.40, 231,146.10 and 43,289.40

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Solution

The fourth proportional to 154,097.40, 231,146.10 and 43,289.40 is: 64,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,097.40 : 231,146.10 = 43,289.40 : x
  2. Step 2: Convert to fraction form
    154,097.40/231,146.10 = 43,289.40/x
  3. Step 3: Cross multiply
    154,097.40x = 231,146.10 × 43,289.40
  4. Step 4: Simplify right side
    154,097.40x = 10,006,175,981.34
  5. Step 5: Solve for x
    x = 10,006,175,981.34/154,097.40
  6. Step 6: Final answer
    x = 64,934.10

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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.