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Finding the Fourth Proportional to 271,813.60, 406,942.80 and 166,837.60

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Solution

The fourth proportional to 271,813.60, 406,942.80 and 166,837.60 is: 249,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,813.60 : 406,942.80 = 166,837.60 : x
  2. Step 2: Convert to fraction form
    271,813.60/406,942.80 = 166,837.60/x
  3. Step 3: Cross multiply
    271,813.60x = 406,942.80 × 166,837.60
  4. Step 4: Simplify right side
    271,813.60x = 67,893,360,089.28
  5. Step 5: Solve for x
    x = 67,893,360,089.28/271,813.60
  6. Step 6: Final answer
    x = 249,779.11

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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.