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Finding the Fourth Proportional to 282,894.56, 390,284 and 161,971.22

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Solution

The fourth proportional to 282,894.56, 390,284 and 161,971.22 is: 223,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,894.56 : 390,284 = 161,971.22 : x
  2. Step 2: Convert to fraction form
    282,894.56/390,284 = 161,971.22/x
  3. Step 3: Cross multiply
    282,894.56x = 390,284 × 161,971.22
  4. Step 4: Simplify right side
    282,894.56x = 63,214,775,626.48
  5. Step 5: Solve for x
    x = 63,214,775,626.48/282,894.56
  6. Step 6: Final answer
    x = 223,457.02

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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.