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Finding the Fourth Proportional to 237,792.42, 328,195.16 and 180,621

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Solution

The fourth proportional to 237,792.42, 328,195.16 and 180,621 is: 249,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,792.42 : 328,195.16 = 180,621 : x
  2. Step 2: Convert to fraction form
    237,792.42/328,195.16 = 180,621/x
  3. Step 3: Cross multiply
    237,792.42x = 328,195.16 × 180,621
  4. Step 4: Simplify right side
    237,792.42x = 59,278,937,994.36
  5. Step 5: Solve for x
    x = 59,278,937,994.36/237,792.42
  6. Step 6: Final answer
    x = 249,288.59

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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.