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Finding the Fourth Proportional to 200,064.30, 300,096.45 and 106,752.30

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Solution

The fourth proportional to 200,064.30, 300,096.45 and 106,752.30 is: 160,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,064.30 : 300,096.45 = 106,752.30 : x
  2. Step 2: Convert to fraction form
    200,064.30/300,096.45 = 106,752.30/x
  3. Step 3: Cross multiply
    200,064.30x = 300,096.45 × 106,752.30
  4. Step 4: Simplify right side
    200,064.30x = 32,035,986,259.34
  5. Step 5: Solve for x
    x = 32,035,986,259.34/200,064.30
  6. Step 6: Final answer
    x = 160,128.45

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1.5x scale

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.