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Finding the Fourth Proportional to 194,728.80, 291,776.40 and 176,066.40

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Solution

The fourth proportional to 194,728.80, 291,776.40 and 176,066.40 is: 263,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,728.80 : 291,776.40 = 176,066.40 : x
  2. Step 2: Convert to fraction form
    194,728.80/291,776.40 = 176,066.40/x
  3. Step 3: Cross multiply
    194,728.80x = 291,776.40 × 176,066.40
  4. Step 4: Simplify right side
    194,728.80x = 51,372,020,352.96
  5. Step 5: Solve for x
    x = 51,372,020,352.96/194,728.80
  6. Step 6: Final answer
    x = 263,813.16

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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.