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Finding the Fourth Proportional to 102,681.70, 154,000.95 and 43,519.30

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Solution

The fourth proportional to 102,681.70, 154,000.95 and 43,519.30 is: 65,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,681.70 : 154,000.95 = 43,519.30 : x
  2. Step 2: Convert to fraction form
    102,681.70/154,000.95 = 43,519.30/x
  3. Step 3: Cross multiply
    102,681.70x = 154,000.95 × 43,519.30
  4. Step 4: Simplify right side
    102,681.70x = 6,702,013,543.34
  5. Step 5: Solve for x
    x = 6,702,013,543.34/102,681.70
  6. Step 6: Final answer
    x = 65,269.80

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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.