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Finding the Fourth Proportional to 208,315.78, 312,488.35 and 103,106.50

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Solution

The fourth proportional to 208,315.78, 312,488.35 and 103,106.50 is: 154,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,315.78 : 312,488.35 = 103,106.50 : x
  2. Step 2: Convert to fraction form
    208,315.78/312,488.35 = 103,106.50/x
  3. Step 3: Cross multiply
    208,315.78x = 312,488.35 × 103,106.50
  4. Step 4: Simplify right side
    208,315.78x = 32,219,580,317.04
  5. Step 5: Solve for x
    x = 32,219,580,317.04/208,315.78
  6. Step 6: Final answer
    x = 154,667.02

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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.