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Finding the Fourth Proportional to 282,883.37, 390,283.49 and 160,362.60

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Solution

The fourth proportional to 282,883.37, 390,283.49 and 160,362.60 is: 221,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,883.37 : 390,283.49 = 160,362.60 : x
  2. Step 2: Convert to fraction form
    282,883.37/390,283.49 = 160,362.60/x
  3. Step 3: Cross multiply
    282,883.37x = 390,283.49 × 160,362.60
  4. Step 4: Simplify right side
    282,883.37x = 62,586,875,594.38
  5. Step 5: Solve for x
    x = 62,586,875,594.38/282,883.37
  6. Step 6: Final answer
    x = 221,246.22

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Why These Related Problems?

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