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Finding the Fourth Proportional to 237,788.42, 328,189.64 and 180,617

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Solution

The fourth proportional to 237,788.42, 328,189.64 and 180,617 is: 249,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,788.42 : 328,189.64 = 180,617 : x
  2. Step 2: Convert to fraction form
    237,788.42/328,189.64 = 180,617/x
  3. Step 3: Cross multiply
    237,788.42x = 328,189.64 × 180,617
  4. Step 4: Simplify right side
    237,788.42x = 59,276,628,207.88
  5. Step 5: Solve for x
    x = 59,276,628,207.88/237,788.42
  6. Step 6: Final answer
    x = 249,283.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.