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Finding the Fourth Proportional to 208,233.84, 312,409.08 and 83,662.32

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Solution

The fourth proportional to 208,233.84, 312,409.08 and 83,662.32 is: 125,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,233.84 : 312,409.08 = 83,662.32 : x
  2. Step 2: Convert to fraction form
    208,233.84/312,409.08 = 83,662.32/x
  3. Step 3: Cross multiply
    208,233.84x = 312,409.08 × 83,662.32
  4. Step 4: Simplify right side
    208,233.84x = 26,136,868,421.87
  5. Step 5: Solve for x
    x = 26,136,868,421.87/208,233.84
  6. Step 6: Final answer
    x = 125,516.91

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1.5x scale

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.