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Finding the Fourth Proportional to 106,461.54, 146,923.65 and 58,714.98

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Solution

The fourth proportional to 106,461.54, 146,923.65 and 58,714.98 is: 81,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,461.54 : 146,923.65 = 58,714.98 : x
  2. Step 2: Convert to fraction form
    106,461.54/146,923.65 = 58,714.98/x
  3. Step 3: Cross multiply
    106,461.54x = 146,923.65 × 58,714.98
  4. Step 4: Simplify right side
    106,461.54x = 8,626,619,171.28
  5. Step 5: Solve for x
    x = 8,626,619,171.28/106,461.54
  6. Step 6: Final answer
    x = 81,030.38

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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.