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Finding the Fourth Proportional to 152,336.43, 210,218.49 and 84,348

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Solution

The fourth proportional to 152,336.43, 210,218.49 and 84,348 is: 116,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,336.43 : 210,218.49 = 84,348 : x
  2. Step 2: Convert to fraction form
    152,336.43/210,218.49 = 84,348/x
  3. Step 3: Cross multiply
    152,336.43x = 210,218.49 × 84,348
  4. Step 4: Simplify right side
    152,336.43x = 17,731,509,194.52
  5. Step 5: Solve for x
    x = 17,731,509,194.52/152,336.43
  6. Step 6: Final answer
    x = 116,397.04

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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.