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Finding the Fourth Proportional to 212,769.80, 319,269.90 and 94,459.40

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Solution

The fourth proportional to 212,769.80, 319,269.90 and 94,459.40 is: 141,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,769.80 : 319,269.90 = 94,459.40 : x
  2. Step 2: Convert to fraction form
    212,769.80/319,269.90 = 94,459.40/x
  3. Step 3: Cross multiply
    212,769.80x = 319,269.90 × 94,459.40
  4. Step 4: Simplify right side
    212,769.80x = 30,158,043,192.06
  5. Step 5: Solve for x
    x = 30,158,043,192.06/212,769.80
  6. Step 6: Final answer
    x = 141,740.24

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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.