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Finding the Fourth Proportional to 105,798.21, 146,001.71 and 58,051.92

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Solution

The fourth proportional to 105,798.21, 146,001.71 and 58,051.92 is: 80,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,798.21 : 146,001.71 = 58,051.92 : x
  2. Step 2: Convert to fraction form
    105,798.21/146,001.71 = 58,051.92/x
  3. Step 3: Cross multiply
    105,798.21x = 146,001.71 × 58,051.92
  4. Step 4: Simplify right side
    105,798.21x = 8,475,679,588.78
  5. Step 5: Solve for x
    x = 8,475,679,588.78/105,798.21
  6. Step 6: Final answer
    x = 80,111.75

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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.