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Finding the Fourth Proportional to 208,152.25, 312,424.16 and 196,776.07

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Solution

The fourth proportional to 208,152.25, 312,424.16 and 196,776.07 is: 295,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,152.25 : 312,424.16 = 196,776.07 : x
  2. Step 2: Convert to fraction form
    208,152.25/312,424.16 = 196,776.07/x
  3. Step 3: Cross multiply
    208,152.25x = 312,424.16 × 196,776.07
  4. Step 4: Simplify right side
    208,152.25x = 61,477,596,612.91
  5. Step 5: Solve for x
    x = 61,477,596,612.91/208,152.25
  6. Step 6: Final answer
    x = 295,349.18

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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.