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Finding the Fourth Proportional to 194,463.60, 291,695.40 and 177,842.40

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Solution

The fourth proportional to 194,463.60, 291,695.40 and 177,842.40 is: 266,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,463.60 : 291,695.40 = 177,842.40 : x
  2. Step 2: Convert to fraction form
    194,463.60/291,695.40 = 177,842.40/x
  3. Step 3: Cross multiply
    194,463.60x = 291,695.40 × 177,842.40
  4. Step 4: Simplify right side
    194,463.60x = 51,875,810,004.96
  5. Step 5: Solve for x
    x = 51,875,810,004.96/194,463.60
  6. Step 6: Final answer
    x = 266,763.60

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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.