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Finding the Fourth Proportional to 105,702.68, 145,871.70 and 57,953.18

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Solution

The fourth proportional to 105,702.68, 145,871.70 and 57,953.18 is: 79,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,702.68 : 145,871.70 = 57,953.18 : x
  2. Step 2: Convert to fraction form
    105,702.68/145,871.70 = 57,953.18/x
  3. Step 3: Cross multiply
    105,702.68x = 145,871.70 × 57,953.18
  4. Step 4: Simplify right side
    105,702.68x = 8,453,728,887.01
  5. Step 5: Solve for x
    x = 8,453,728,887.01/105,702.68
  6. Step 6: Final answer
    x = 79,976.49

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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.