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Finding the Fourth Proportional to 195,584, 293,376 and 70,925.12

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Solution

The fourth proportional to 195,584, 293,376 and 70,925.12 is: 106,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,584 : 293,376 = 70,925.12 : x
  2. Step 2: Convert to fraction form
    195,584/293,376 = 70,925.12/x
  3. Step 3: Cross multiply
    195,584x = 293,376 × 70,925.12
  4. Step 4: Simplify right side
    195,584x = 20,807,728,005.12
  5. Step 5: Solve for x
    x = 20,807,728,005.12/195,584
  6. Step 6: Final answer
    x = 106,387.68

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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.