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Finding the Fourth Proportional to 282,433, 389,792.10 and 163,201

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Solution

The fourth proportional to 282,433, 389,792.10 and 163,201 is: 225,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,433 : 389,792.10 = 163,201 : x
  2. Step 2: Convert to fraction form
    282,433/389,792.10 = 163,201/x
  3. Step 3: Cross multiply
    282,433x = 389,792.10 × 163,201
  4. Step 4: Simplify right side
    282,433x = 63,614,460,512.10
  5. Step 5: Solve for x
    x = 63,614,460,512.10/282,433
  6. Step 6: Final answer
    x = 225,237.35

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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.