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Finding the Fourth Proportional to 152,452.80, 210,384.96 and 83,541.96

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Solution

The fourth proportional to 152,452.80, 210,384.96 and 83,541.96 is: 115,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,452.80 : 210,384.96 = 83,541.96 : x
  2. Step 2: Convert to fraction form
    152,452.80/210,384.96 = 83,541.96/x
  3. Step 3: Cross multiply
    152,452.80x = 210,384.96 × 83,541.96
  4. Step 4: Simplify right side
    152,452.80x = 17,575,971,912.92
  5. Step 5: Solve for x
    x = 17,575,971,912.92/152,452.80
  6. Step 6: Final answer
    x = 115,287.96

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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.