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Finding the Fourth Proportional to 153,670.66, 211,986.44 and 102,667.08

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Solution

The fourth proportional to 153,670.66, 211,986.44 and 102,667.08 is: 141,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,670.66 : 211,986.44 = 102,667.08 : x
  2. Step 2: Convert to fraction form
    153,670.66/211,986.44 = 102,667.08/x
  3. Step 3: Cross multiply
    153,670.66x = 211,986.44 × 102,667.08
  4. Step 4: Simplify right side
    153,670.66x = 21,764,028,794.40
  5. Step 5: Solve for x
    x = 21,764,028,794.40/153,670.66
  6. Step 6: Final answer
    x = 141,627.74

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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.