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Finding the Fourth Proportional to 271,968.68, 407,501.40 and 166,566.08

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Solution

The fourth proportional to 271,968.68, 407,501.40 and 166,566.08 is: 249,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,968.68 : 407,501.40 = 166,566.08 : x
  2. Step 2: Convert to fraction form
    271,968.68/407,501.40 = 166,566.08/x
  3. Step 3: Cross multiply
    271,968.68x = 407,501.40 × 166,566.08
  4. Step 4: Simplify right side
    271,968.68x = 67,875,910,792.51
  5. Step 5: Solve for x
    x = 67,875,910,792.51/271,968.68
  6. Step 6: Final answer
    x = 249,572.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.