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Finding the Fourth Proportional to 287,512.70, 431,269.05 and 130,048.70

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Solution

The fourth proportional to 287,512.70, 431,269.05 and 130,048.70 is: 195,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,512.70 : 431,269.05 = 130,048.70 : x
  2. Step 2: Convert to fraction form
    287,512.70/431,269.05 = 130,048.70/x
  3. Step 3: Cross multiply
    287,512.70x = 431,269.05 × 130,048.70
  4. Step 4: Simplify right side
    287,512.70x = 56,085,979,302.74
  5. Step 5: Solve for x
    x = 56,085,979,302.74/287,512.70
  6. Step 6: Final answer
    x = 195,073.05

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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.