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Finding the Fourth Proportional to 170,643.60, 255,965.40 and 114,656.40

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Solution

The fourth proportional to 170,643.60, 255,965.40 and 114,656.40 is: 171,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,643.60 : 255,965.40 = 114,656.40 : x
  2. Step 2: Convert to fraction form
    170,643.60/255,965.40 = 114,656.40/x
  3. Step 3: Cross multiply
    170,643.60x = 255,965.40 × 114,656.40
  4. Step 4: Simplify right side
    170,643.60x = 29,348,071,288.56
  5. Step 5: Solve for x
    x = 29,348,071,288.56/170,643.60
  6. Step 6: Final answer
    x = 171,984.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.