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Finding the Fourth Proportional to 194,565, 291,469.86 and 127,802.55

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Solution

The fourth proportional to 194,565, 291,469.86 and 127,802.55 is: 191,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,565 : 291,469.86 = 127,802.55 : x
  2. Step 2: Convert to fraction form
    194,565/291,469.86 = 127,802.55/x
  3. Step 3: Cross multiply
    194,565x = 291,469.86 × 127,802.55
  4. Step 4: Simplify right side
    194,565x = 37,250,591,356.14
  5. Step 5: Solve for x
    x = 37,250,591,356.14/194,565
  6. Step 6: Final answer
    x = 191,455.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.