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Finding the Fourth Proportional to 152,046.38, 209,805.86 and 84,054.22

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Solution

The fourth proportional to 152,046.38, 209,805.86 and 84,054.22 is: 115,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,046.38 : 209,805.86 = 84,054.22 : x
  2. Step 2: Convert to fraction form
    152,046.38/209,805.86 = 84,054.22/x
  3. Step 3: Cross multiply
    152,046.38x = 209,805.86 × 84,054.22
  4. Step 4: Simplify right side
    152,046.38x = 17,635,068,779.51
  5. Step 5: Solve for x
    x = 17,635,068,779.51/152,046.38
  6. Step 6: Final answer
    x = 115,984.80

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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.