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Finding the Fourth Proportional to 176,007.62, 264,023.76 and 70,827.08

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Solution

The fourth proportional to 176,007.62, 264,023.76 and 70,827.08 is: 106,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,007.62 : 264,023.76 = 70,827.08 : x
  2. Step 2: Convert to fraction form
    176,007.62/264,023.76 = 70,827.08/x
  3. Step 3: Cross multiply
    176,007.62x = 264,023.76 × 70,827.08
  4. Step 4: Simplify right side
    176,007.62x = 18,700,031,971.42
  5. Step 5: Solve for x
    x = 18,700,031,971.42/176,007.62
  6. Step 6: Final answer
    x = 106,245.58

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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.