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Finding the Fourth Proportional to 176,070.80, 263,760.60 and 105,741.20

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Solution

The fourth proportional to 176,070.80, 263,760.60 and 105,741.20 is: 158,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,070.80 : 263,760.60 = 105,741.20 : x
  2. Step 2: Convert to fraction form
    176,070.80/263,760.60 = 105,741.20/x
  3. Step 3: Cross multiply
    176,070.80x = 263,760.60 × 105,741.20
  4. Step 4: Simplify right side
    176,070.80x = 27,890,362,356.72
  5. Step 5: Solve for x
    x = 27,890,362,356.72/176,070.80
  6. Step 6: Final answer
    x = 158,404.25

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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.