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Finding the Fourth Proportional to 176,064.60, 263,708.10 and 70,829.40

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Solution

The fourth proportional to 176,064.60, 263,708.10 and 70,829.40 is: 106,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,064.60 : 263,708.10 = 70,829.40 : x
  2. Step 2: Convert to fraction form
    176,064.60/263,708.10 = 70,829.40/x
  3. Step 3: Cross multiply
    176,064.60x = 263,708.10 × 70,829.40
  4. Step 4: Simplify right side
    176,064.60x = 18,678,286,498.14
  5. Step 5: Solve for x
    x = 18,678,286,498.14/176,064.60
  6. Step 6: Final answer
    x = 106,087.69

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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.