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Finding the Fourth Proportional to 152,743.38, 210,782.70 and 83,834.52

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Solution

The fourth proportional to 152,743.38, 210,782.70 and 83,834.52 is: 115,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,743.38 : 210,782.70 = 83,834.52 : x
  2. Step 2: Convert to fraction form
    152,743.38/210,782.70 = 83,834.52/x
  3. Step 3: Cross multiply
    152,743.38x = 210,782.70 × 83,834.52
  4. Step 4: Simplify right side
    152,743.38x = 17,670,866,478.80
  5. Step 5: Solve for x
    x = 17,670,866,478.80/152,743.38
  6. Step 6: Final answer
    x = 115,689.90

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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.