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Finding the Fourth Proportional to 200,923.20, 301,384.80 and 130,064.40

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Solution

The fourth proportional to 200,923.20, 301,384.80 and 130,064.40 is: 195,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,923.20 : 301,384.80 = 130,064.40 : x
  2. Step 2: Convert to fraction form
    200,923.20/301,384.80 = 130,064.40/x
  3. Step 3: Cross multiply
    200,923.20x = 301,384.80 × 130,064.40
  4. Step 4: Simplify right side
    200,923.20x = 39,199,433,181.12
  5. Step 5: Solve for x
    x = 39,199,433,181.12/200,923.20
  6. Step 6: Final answer
    x = 195,096.60

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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.