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Finding the Fourth Proportional to 194,563, 291,466.86 and 127,800.55

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Solution

The fourth proportional to 194,563, 291,466.86 and 127,800.55 is: 191,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,563 : 291,466.86 = 127,800.55 : x
  2. Step 2: Convert to fraction form
    194,563/291,466.86 = 127,800.55/x
  3. Step 3: Cross multiply
    194,563x = 291,466.86 × 127,800.55
  4. Step 4: Simplify right side
    194,563x = 37,249,625,014.77
  5. Step 5: Solve for x
    x = 37,249,625,014.77/194,563
  6. Step 6: Final answer
    x = 191,452.77

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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.