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Finding the Fourth Proportional to 105,896.95, 146,138.19 and 57,498.95

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Solution

The fourth proportional to 105,896.95, 146,138.19 and 57,498.95 is: 79,348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,896.95 : 146,138.19 = 57,498.95 : x
  2. Step 2: Convert to fraction form
    105,896.95/146,138.19 = 57,498.95/x
  3. Step 3: Cross multiply
    105,896.95x = 146,138.19 × 57,498.95
  4. Step 4: Simplify right side
    105,896.95x = 8,402,792,479.90
  5. Step 5: Solve for x
    x = 8,402,792,479.90/105,896.95
  6. Step 6: Final answer
    x = 79,348.77

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1.5x scale

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.