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Finding the Fourth Proportional to 105,149.84, 145,106.64 and 67,424

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Solution

The fourth proportional to 105,149.84, 145,106.64 and 67,424 is: 93,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,149.84 : 145,106.64 = 67,424 : x
  2. Step 2: Convert to fraction form
    105,149.84/145,106.64 = 67,424/x
  3. Step 3: Cross multiply
    105,149.84x = 145,106.64 × 67,424
  4. Step 4: Simplify right side
    105,149.84x = 9,783,670,095.36
  5. Step 5: Solve for x
    x = 9,783,670,095.36/105,149.84
  6. Step 6: Final answer
    x = 93,045.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.