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Finding the Fourth Proportional to 199,592.70, 299,389.05 and 120,666.30

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Solution

The fourth proportional to 199,592.70, 299,389.05 and 120,666.30 is: 180,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,592.70 : 299,389.05 = 120,666.30 : x
  2. Step 2: Convert to fraction form
    199,592.70/299,389.05 = 120,666.30/x
  3. Step 3: Cross multiply
    199,592.70x = 299,389.05 × 120,666.30
  4. Step 4: Simplify right side
    199,592.70x = 36,126,168,924.02
  5. Step 5: Solve for x
    x = 36,126,168,924.02/199,592.70
  6. Step 6: Final answer
    x = 180,999.45

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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.