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Finding the Fourth Proportional to 102,902.40, 154,353.60 and 43,718.40

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Solution

The fourth proportional to 102,902.40, 154,353.60 and 43,718.40 is: 65,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,902.40 : 154,353.60 = 43,718.40 : x
  2. Step 2: Convert to fraction form
    102,902.40/154,353.60 = 43,718.40/x
  3. Step 3: Cross multiply
    102,902.40x = 154,353.60 × 43,718.40
  4. Step 4: Simplify right side
    102,902.40x = 6,748,092,426.24
  5. Step 5: Solve for x
    x = 6,748,092,426.24/102,902.40
  6. Step 6: Final answer
    x = 65,577.60

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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.