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Finding the Fourth Proportional to 102,208.50, 153,312.75 and 28,336.50

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Solution

The fourth proportional to 102,208.50, 153,312.75 and 28,336.50 is: 42,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,208.50 : 153,312.75 = 28,336.50 : x
  2. Step 2: Convert to fraction form
    102,208.50/153,312.75 = 28,336.50/x
  3. Step 3: Cross multiply
    102,208.50x = 153,312.75 × 28,336.50
  4. Step 4: Simplify right side
    102,208.50x = 4,344,346,740.38
  5. Step 5: Solve for x
    x = 4,344,346,740.38/102,208.50
  6. Step 6: Final answer
    x = 42,504.75

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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.