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Finding the Fourth Proportional to 312,863.50, 469,383.54 and 88,226.07

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Solution

The fourth proportional to 312,863.50, 469,383.54 and 88,226.07 is: 132,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,863.50 : 469,383.54 = 88,226.07 : x
  2. Step 2: Convert to fraction form
    312,863.50/469,383.54 = 88,226.07/x
  3. Step 3: Cross multiply
    312,863.50x = 469,383.54 × 88,226.07
  4. Step 4: Simplify right side
    312,863.50x = 41,411,865,056.89
  5. Step 5: Solve for x
    x = 41,411,865,056.89/312,863.50
  6. Step 6: Final answer
    x = 132,364.00

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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.