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Finding the Fourth Proportional to 105,802.38, 146,006.88 and 58,056.53

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Solution

The fourth proportional to 105,802.38, 146,006.88 and 58,056.53 is: 80,117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,802.38 : 146,006.88 = 58,056.53 : x
  2. Step 2: Convert to fraction form
    105,802.38/146,006.88 = 58,056.53/x
  3. Step 3: Cross multiply
    105,802.38x = 146,006.88 × 58,056.53
  4. Step 4: Simplify right side
    105,802.38x = 8,476,652,808.93
  5. Step 5: Solve for x
    x = 8,476,652,808.93/105,802.38
  6. Step 6: Final answer
    x = 80,117.79

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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.