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Finding the Fourth Proportional to 208,301.84, 312,453.23 and 75,276.06

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Solution

The fourth proportional to 208,301.84, 312,453.23 and 75,276.06 is: 112,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,301.84 : 312,453.23 = 75,276.06 : x
  2. Step 2: Convert to fraction form
    208,301.84/312,453.23 = 75,276.06/x
  3. Step 3: Cross multiply
    208,301.84x = 312,453.23 × 75,276.06
  4. Step 4: Simplify right side
    208,301.84x = 23,520,248,088.67
  5. Step 5: Solve for x
    x = 23,520,248,088.67/208,301.84
  6. Step 6: Final answer
    x = 112,914.26

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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.