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Finding the Fourth Proportional to 106,492.74, 146,960.42 and 58,095.71

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Solution

The fourth proportional to 106,492.74, 146,960.42 and 58,095.71 is: 80,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.74 : 146,960.42 = 58,095.71 : x
  2. Step 2: Convert to fraction form
    106,492.74/146,960.42 = 58,095.71/x
  3. Step 3: Cross multiply
    106,492.74x = 146,960.42 × 58,095.71
  4. Step 4: Simplify right side
    106,492.74x = 8,537,768,916.52
  5. Step 5: Solve for x
    x = 8,537,768,916.52/106,492.74
  6. Step 6: Final answer
    x = 80,172.31

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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.