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Finding the Fourth Proportional to 129,957.40, 194,784.90 and 59,843.80

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Solution

The fourth proportional to 129,957.40, 194,784.90 and 59,843.80 is: 89,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,957.40 : 194,784.90 = 59,843.80 : x
  2. Step 2: Convert to fraction form
    129,957.40/194,784.90 = 59,843.80/x
  3. Step 3: Cross multiply
    129,957.40x = 194,784.90 × 59,843.80
  4. Step 4: Simplify right side
    129,957.40x = 11,656,668,598.62
  5. Step 5: Solve for x
    x = 11,656,668,598.62/129,957.40
  6. Step 6: Final answer
    x = 89,696.07

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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.