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Finding the Fourth Proportional to 105,835.80, 146,056.86 and 60,497.40

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Solution

The fourth proportional to 105,835.80, 146,056.86 and 60,497.40 is: 83,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,835.80 : 146,056.86 = 60,497.40 : x
  2. Step 2: Convert to fraction form
    105,835.80/146,056.86 = 60,497.40/x
  3. Step 3: Cross multiply
    105,835.80x = 146,056.86 × 60,497.40
  4. Step 4: Simplify right side
    105,835.80x = 8,836,060,282.16
  5. Step 5: Solve for x
    x = 8,836,060,282.16/105,835.80
  6. Step 6: Final answer
    x = 83,488.39

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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.