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Finding the Fourth Proportional to 306,085.20, 459,127.80 and 166,117.20

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Solution

The fourth proportional to 306,085.20, 459,127.80 and 166,117.20 is: 249,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,085.20 : 459,127.80 = 166,117.20 : x
  2. Step 2: Convert to fraction form
    306,085.20/459,127.80 = 166,117.20/x
  3. Step 3: Cross multiply
    306,085.20x = 459,127.80 × 166,117.20
  4. Step 4: Simplify right side
    306,085.20x = 76,269,024,578.16
  5. Step 5: Solve for x
    x = 76,269,024,578.16/306,085.20
  6. Step 6: Final answer
    x = 249,175.80

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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.