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Finding the Fourth Proportional to 208,633.65, 312,950.48 and 103,657.65

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Solution

The fourth proportional to 208,633.65, 312,950.48 and 103,657.65 is: 155,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,633.65 : 312,950.48 = 103,657.65 : x
  2. Step 2: Convert to fraction form
    208,633.65/312,950.48 = 103,657.65/x
  3. Step 3: Cross multiply
    208,633.65x = 312,950.48 × 103,657.65
  4. Step 4: Simplify right side
    208,633.65x = 32,439,711,323.17
  5. Step 5: Solve for x
    x = 32,439,711,323.17/208,633.65
  6. Step 6: Final answer
    x = 155,486.48

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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.