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Finding the Fourth Proportional to 102,769.60, 154,154.40 and 47,473.60

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Solution

The fourth proportional to 102,769.60, 154,154.40 and 47,473.60 is: 71,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,769.60 : 154,154.40 = 47,473.60 : x
  2. Step 2: Convert to fraction form
    102,769.60/154,154.40 = 47,473.60/x
  3. Step 3: Cross multiply
    102,769.60x = 154,154.40 × 47,473.60
  4. Step 4: Simplify right side
    102,769.60x = 7,318,264,323.84
  5. Step 5: Solve for x
    x = 7,318,264,323.84/102,769.60
  6. Step 6: Final answer
    x = 71,210.40

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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.