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Finding the Fourth Proportional to 104,694, 157,091.40 and 52,108.08

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Solution

The fourth proportional to 104,694, 157,091.40 and 52,108.08 is: 78,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,694 : 157,091.40 = 52,108.08 : x
  2. Step 2: Convert to fraction form
    104,694/157,091.40 = 52,108.08/x
  3. Step 3: Cross multiply
    104,694x = 157,091.40 × 52,108.08
  4. Step 4: Simplify right side
    104,694x = 8,185,731,238.51
  5. Step 5: Solve for x
    x = 8,185,731,238.51/104,694
  6. Step 6: Final answer
    x = 78,187.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.