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Finding the Fourth Proportional to 194,377.81, 290,501.73 and 141,897.81

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Solution

The fourth proportional to 194,377.81, 290,501.73 and 141,897.81 is: 212,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,377.81 : 290,501.73 = 141,897.81 : x
  2. Step 2: Convert to fraction form
    194,377.81/290,501.73 = 141,897.81/x
  3. Step 3: Cross multiply
    194,377.81x = 290,501.73 × 141,897.81
  4. Step 4: Simplify right side
    194,377.81x = 41,221,559,288.21
  5. Step 5: Solve for x
    x = 41,221,559,288.21/194,377.81
  6. Step 6: Final answer
    x = 212,069.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.