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Finding the Fourth Proportional to 200,094.40, 299,412.60 and 147,606.40

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Solution

The fourth proportional to 200,094.40, 299,412.60 and 147,606.40 is: 220,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,094.40 : 299,412.60 = 147,606.40 : x
  2. Step 2: Convert to fraction form
    200,094.40/299,412.60 = 147,606.40/x
  3. Step 3: Cross multiply
    200,094.40x = 299,412.60 × 147,606.40
  4. Step 4: Simplify right side
    200,094.40x = 44,195,216,000.64
  5. Step 5: Solve for x
    x = 44,195,216,000.64/200,094.40
  6. Step 6: Final answer
    x = 220,871.83

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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.