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Finding the Fourth Proportional to 210,415.60, 290,371.35 and 114,922.30

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Solution

The fourth proportional to 210,415.60, 290,371.35 and 114,922.30 is: 158,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,415.60 : 290,371.35 = 114,922.30 : x
  2. Step 2: Convert to fraction form
    210,415.60/290,371.35 = 114,922.30/x
  3. Step 3: Cross multiply
    210,415.60x = 290,371.35 × 114,922.30
  4. Step 4: Simplify right side
    210,415.60x = 33,370,143,396.11
  5. Step 5: Solve for x
    x = 33,370,143,396.11/210,415.60
  6. Step 6: Final answer
    x = 158,591.58

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1.5x scale

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.