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Finding the Fourth Proportional to 231,009.68, 346,307.16 and 83,162

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Solution

The fourth proportional to 231,009.68, 346,307.16 and 83,162 is: 124,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,009.68 : 346,307.16 = 83,162 : x
  2. Step 2: Convert to fraction form
    231,009.68/346,307.16 = 83,162/x
  3. Step 3: Cross multiply
    231,009.68x = 346,307.16 × 83,162
  4. Step 4: Simplify right side
    231,009.68x = 28,799,596,039.92
  5. Step 5: Solve for x
    x = 28,799,596,039.92/231,009.68
  6. Step 6: Final answer
    x = 124,668.35

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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.