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Finding the Fourth Proportional to 105,893.52, 146,135.61 and 57,497.51

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Solution

The fourth proportional to 105,893.52, 146,135.61 and 57,497.51 is: 79,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,893.52 : 146,135.61 = 57,497.51 : x
  2. Step 2: Convert to fraction form
    105,893.52/146,135.61 = 57,497.51/x
  3. Step 3: Cross multiply
    105,893.52x = 146,135.61 × 57,497.51
  4. Step 4: Simplify right side
    105,893.52x = 8,402,432,966.65
  5. Step 5: Solve for x
    x = 8,402,432,966.65/105,893.52
  6. Step 6: Final answer
    x = 79,347.94

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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.