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Finding the Fourth Proportional to 208,492.66, 312,739 and 83,804.50

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Solution

The fourth proportional to 208,492.66, 312,739 and 83,804.50 is: 125,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,492.66 : 312,739 = 83,804.50 : x
  2. Step 2: Convert to fraction form
    208,492.66/312,739 = 83,804.50/x
  3. Step 3: Cross multiply
    208,492.66x = 312,739 × 83,804.50
  4. Step 4: Simplify right side
    208,492.66x = 26,208,935,525.50
  5. Step 5: Solve for x
    x = 26,208,935,525.50/208,492.66
  6. Step 6: Final answer
    x = 125,706.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.