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Finding the Fourth Proportional to 194,888.84, 291,488.64 and 114,735.80

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Solution

The fourth proportional to 194,888.84, 291,488.64 and 114,735.80 is: 171,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,888.84 : 291,488.64 = 114,735.80 : x
  2. Step 2: Convert to fraction form
    194,888.84/291,488.64 = 114,735.80/x
  3. Step 3: Cross multiply
    194,888.84x = 291,488.64 × 114,735.80
  4. Step 4: Simplify right side
    194,888.84x = 33,444,182,301.31
  5. Step 5: Solve for x
    x = 33,444,182,301.31/194,888.84
  6. Step 6: Final answer
    x = 171,606.45

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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.