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Finding the Fourth Proportional to 194,783.60, 291,973.80 and 105,849.20

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Solution

The fourth proportional to 194,783.60, 291,973.80 and 105,849.20 is: 158,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,783.60 : 291,973.80 = 105,849.20 : x
  2. Step 2: Convert to fraction form
    194,783.60/291,973.80 = 105,849.20/x
  3. Step 3: Cross multiply
    194,783.60x = 291,973.80 × 105,849.20
  4. Step 4: Simplify right side
    194,783.60x = 30,905,193,150.96
  5. Step 5: Solve for x
    x = 30,905,193,150.96/194,783.60
  6. Step 6: Final answer
    x = 158,664.25

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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.