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Finding the Fourth Proportional to 200,417.64, 276,566.44 and 109,774

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Solution

The fourth proportional to 200,417.64, 276,566.44 and 109,774 is: 151,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,417.64 : 276,566.44 = 109,774 : x
  2. Step 2: Convert to fraction form
    200,417.64/276,566.44 = 109,774/x
  3. Step 3: Cross multiply
    200,417.64x = 276,566.44 × 109,774
  4. Step 4: Simplify right side
    200,417.64x = 30,359,804,384.56
  5. Step 5: Solve for x
    x = 30,359,804,384.56/200,417.64
  6. Step 6: Final answer
    x = 151,482.70

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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.