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Finding the Fourth Proportional to 176,712.40, 264,485.40 and 137,054.80

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Solution

The fourth proportional to 176,712.40, 264,485.40 and 137,054.80 is: 205,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,712.40 : 264,485.40 = 137,054.80 : x
  2. Step 2: Convert to fraction form
    176,712.40/264,485.40 = 137,054.80/x
  3. Step 3: Cross multiply
    176,712.40x = 264,485.40 × 137,054.80
  4. Step 4: Simplify right side
    176,712.40x = 36,248,993,599.92
  5. Step 5: Solve for x
    x = 36,248,993,599.92/176,712.40
  6. Step 6: Final answer
    x = 205,129.88

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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.