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Finding the Fourth Proportional to 106,103.16, 146,423.52 and 58,356.90

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Solution

The fourth proportional to 106,103.16, 146,423.52 and 58,356.90 is: 80,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,103.16 : 146,423.52 = 58,356.90 : x
  2. Step 2: Convert to fraction form
    106,103.16/146,423.52 = 58,356.90/x
  3. Step 3: Cross multiply
    106,103.16x = 146,423.52 × 58,356.90
  4. Step 4: Simplify right side
    106,103.16x = 8,544,822,714.29
  5. Step 5: Solve for x
    x = 8,544,822,714.29/106,103.16
  6. Step 6: Final answer
    x = 80,533.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.