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Finding the Fourth Proportional to 262,983, 362,916.54 and 143,751

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Solution

The fourth proportional to 262,983, 362,916.54 and 143,751 is: 198,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,983 : 362,916.54 = 143,751 : x
  2. Step 2: Convert to fraction form
    262,983/362,916.54 = 143,751/x
  3. Step 3: Cross multiply
    262,983x = 362,916.54 × 143,751
  4. Step 4: Simplify right side
    262,983x = 52,169,615,541.54
  5. Step 5: Solve for x
    x = 52,169,615,541.54/262,983
  6. Step 6: Final answer
    x = 198,376.38

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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.