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Finding the Fourth Proportional to 219,924.86, 329,725.82 and 70,078.92

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Solution

The fourth proportional to 219,924.86, 329,725.82 and 70,078.92 is: 105,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,924.86 : 329,725.82 = 70,078.92 : x
  2. Step 2: Convert to fraction form
    219,924.86/329,725.82 = 70,078.92/x
  3. Step 3: Cross multiply
    219,924.86x = 329,725.82 × 70,078.92
  4. Step 4: Simplify right side
    219,924.86x = 23,106,829,361.71
  5. Step 5: Solve for x
    x = 23,106,829,361.71/219,924.86
  6. Step 6: Final answer
    x = 105,066.93

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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.