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Finding the Fourth Proportional to 176,554.80, 264,486.60 and 106,225.20

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Solution

The fourth proportional to 176,554.80, 264,486.60 and 106,225.20 is: 159,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,554.80 : 264,486.60 = 106,225.20 : x
  2. Step 2: Convert to fraction form
    176,554.80/264,486.60 = 106,225.20/x
  3. Step 3: Cross multiply
    176,554.80x = 264,486.60 × 106,225.20
  4. Step 4: Simplify right side
    176,554.80x = 28,095,141,982.32
  5. Step 5: Solve for x
    x = 28,095,141,982.32/176,554.80
  6. Step 6: Final answer
    x = 159,129.87

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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.