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Finding the Fourth Proportional to 176,405.40, 264,608.10 and 106,421.40

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Solution

The fourth proportional to 176,405.40, 264,608.10 and 106,421.40 is: 159,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,405.40 : 264,608.10 = 106,421.40 : x
  2. Step 2: Convert to fraction form
    176,405.40/264,608.10 = 106,421.40/x
  3. Step 3: Cross multiply
    176,405.40x = 264,608.10 × 106,421.40
  4. Step 4: Simplify right side
    176,405.40x = 28,159,964,453.34
  5. Step 5: Solve for x
    x = 28,159,964,453.34/176,405.40
  6. Step 6: Final answer
    x = 159,632.10

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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.