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Finding the Fourth Proportional to 199,808.96, 275,798.40 and 123,352.16

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Solution

The fourth proportional to 199,808.96, 275,798.40 and 123,352.16 is: 170,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,808.96 : 275,798.40 = 123,352.16 : x
  2. Step 2: Convert to fraction form
    199,808.96/275,798.40 = 123,352.16/x
  3. Step 3: Cross multiply
    199,808.96x = 275,798.40 × 123,352.16
  4. Step 4: Simplify right side
    199,808.96x = 34,020,328,364.54
  5. Step 5: Solve for x
    x = 34,020,328,364.54/199,808.96
  6. Step 6: Final answer
    x = 170,264.28

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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.