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Finding the Fourth Proportional to 290,558.80, 435,838.20 and 133,094.80

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Solution

The fourth proportional to 290,558.80, 435,838.20 and 133,094.80 is: 199,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,558.80 : 435,838.20 = 133,094.80 : x
  2. Step 2: Convert to fraction form
    290,558.80/435,838.20 = 133,094.80/x
  3. Step 3: Cross multiply
    290,558.80x = 435,838.20 × 133,094.80
  4. Step 4: Simplify right side
    290,558.80x = 58,007,798,061.36
  5. Step 5: Solve for x
    x = 58,007,798,061.36/290,558.80
  6. Step 6: Final answer
    x = 199,642.20

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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.