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Finding the Fourth Proportional to 282,995.36, 390,541.84 and 162,148

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Solution

The fourth proportional to 282,995.36, 390,541.84 and 162,148 is: 223,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,995.36 : 390,541.84 = 162,148 : x
  2. Step 2: Convert to fraction form
    282,995.36/390,541.84 = 162,148/x
  3. Step 3: Cross multiply
    282,995.36x = 390,541.84 × 162,148
  4. Step 4: Simplify right side
    282,995.36x = 63,325,578,272.32
  5. Step 5: Solve for x
    x = 63,325,578,272.32/282,995.36
  6. Step 6: Final answer
    x = 223,768.96

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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.