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Finding the Fourth Proportional to 200,547.80, 276,682.74 and 119,977.64

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Solution

The fourth proportional to 200,547.80, 276,682.74 and 119,977.64 is: 165,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,547.80 : 276,682.74 = 119,977.64 : x
  2. Step 2: Convert to fraction form
    200,547.80/276,682.74 = 119,977.64/x
  3. Step 3: Cross multiply
    200,547.80x = 276,682.74 × 119,977.64
  4. Step 4: Simplify right side
    200,547.80x = 33,195,742,173.93
  5. Step 5: Solve for x
    x = 33,195,742,173.93/200,547.80
  6. Step 6: Final answer
    x = 165,525.34

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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.