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Finding the Fourth Proportional to 287,901.60, 431,722.80 and 130,048.80

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Solution

The fourth proportional to 287,901.60, 431,722.80 and 130,048.80 is: 195,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,901.60 : 431,722.80 = 130,048.80 : x
  2. Step 2: Convert to fraction form
    287,901.60/431,722.80 = 130,048.80/x
  3. Step 3: Cross multiply
    287,901.60x = 431,722.80 × 130,048.80
  4. Step 4: Simplify right side
    287,901.60x = 56,145,032,072.64
  5. Step 5: Solve for x
    x = 56,145,032,072.64/287,901.60
  6. Step 6: Final answer
    x = 195,014.66

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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.