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Finding the Fourth Proportional to 287,908.60, 431,733.30 and 130,055.80

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Solution

The fourth proportional to 287,908.60, 431,733.30 and 130,055.80 is: 195,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,908.60 : 431,733.30 = 130,055.80 : x
  2. Step 2: Convert to fraction form
    287,908.60/431,733.30 = 130,055.80/x
  3. Step 3: Cross multiply
    287,908.60x = 431,733.30 × 130,055.80
  4. Step 4: Simplify right side
    287,908.60x = 56,149,419,718.14
  5. Step 5: Solve for x
    x = 56,149,419,718.14/287,908.60
  6. Step 6: Final answer
    x = 195,025.16

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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.