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Finding the Fourth Proportional to 277,367.40, 416,195.10 and 129,623.40

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Solution

The fourth proportional to 277,367.40, 416,195.10 and 129,623.40 is: 194,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,367.40 : 416,195.10 = 129,623.40 : x
  2. Step 2: Convert to fraction form
    277,367.40/416,195.10 = 129,623.40/x
  3. Step 3: Cross multiply
    277,367.40x = 416,195.10 × 129,623.40
  4. Step 4: Simplify right side
    277,367.40x = 53,948,623,925.34
  5. Step 5: Solve for x
    x = 53,948,623,925.34/277,367.40
  6. Step 6: Final answer
    x = 194,502.40

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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.