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Finding the Fourth Proportional to 271,707.60, 407,561.40 and 166,585.80

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Solution

The fourth proportional to 271,707.60, 407,561.40 and 166,585.80 is: 249,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,707.60 : 407,561.40 = 166,585.80 : x
  2. Step 2: Convert to fraction form
    271,707.60/407,561.40 = 166,585.80/x
  3. Step 3: Cross multiply
    271,707.60x = 407,561.40 × 166,585.80
  4. Step 4: Simplify right side
    271,707.60x = 67,893,941,868.12
  5. Step 5: Solve for x
    x = 67,893,941,868.12/271,707.60
  6. Step 6: Final answer
    x = 249,878.70

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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.