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Finding the Fourth Proportional to 312,730.17, 469,095.39 and 76,071.39

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Solution

The fourth proportional to 312,730.17, 469,095.39 and 76,071.39 is: 114,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,730.17 : 469,095.39 = 76,071.39 : x
  2. Step 2: Convert to fraction form
    312,730.17/469,095.39 = 76,071.39/x
  3. Step 3: Cross multiply
    312,730.17x = 469,095.39 × 76,071.39
  4. Step 4: Simplify right side
    312,730.17x = 35,684,738,359.89
  5. Step 5: Solve for x
    x = 35,684,738,359.89/312,730.17
  6. Step 6: Final answer
    x = 114,107.12

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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.