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Finding the Fourth Proportional to 306,097.20, 459,145.80 and 166,129.20

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Solution

The fourth proportional to 306,097.20, 459,145.80 and 166,129.20 is: 249,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,097.20 : 459,145.80 = 166,129.20 : x
  2. Step 2: Convert to fraction form
    306,097.20/459,145.80 = 166,129.20/x
  3. Step 3: Cross multiply
    306,097.20x = 459,145.80 × 166,129.20
  4. Step 4: Simplify right side
    306,097.20x = 76,277,524,437.36
  5. Step 5: Solve for x
    x = 76,277,524,437.36/306,097.20
  6. Step 6: Final answer
    x = 249,193.80

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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.