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Finding the Fourth Proportional to 105,698.17, 145,870.23 and 69,825.30

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Solution

The fourth proportional to 105,698.17, 145,870.23 and 69,825.30 is: 96,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,698.17 : 145,870.23 = 69,825.30 : x
  2. Step 2: Convert to fraction form
    105,698.17/145,870.23 = 69,825.30/x
  3. Step 3: Cross multiply
    105,698.17x = 145,870.23 × 69,825.30
  4. Step 4: Simplify right side
    105,698.17x = 10,185,432,570.82
  5. Step 5: Solve for x
    x = 10,185,432,570.82/105,698.17
  6. Step 6: Final answer
    x = 96,363.38

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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.