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Finding the Fourth Proportional to 262,969.83, 362,898.48 and 142,111.08

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Solution

The fourth proportional to 262,969.83, 362,898.48 and 142,111.08 is: 196,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,969.83 : 362,898.48 = 142,111.08 : x
  2. Step 2: Convert to fraction form
    262,969.83/362,898.48 = 142,111.08/x
  3. Step 3: Cross multiply
    262,969.83x = 362,898.48 × 142,111.08
  4. Step 4: Simplify right side
    262,969.83x = 51,571,894,923.16
  5. Step 5: Solve for x
    x = 51,571,894,923.16/262,969.83
  6. Step 6: Final answer
    x = 196,113.35

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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.