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Finding the Fourth Proportional to 122,095.80, 182,848.42 and 105,562.08

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Solution

The fourth proportional to 122,095.80, 182,848.42 and 105,562.08 is: 158,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,095.80 : 182,848.42 = 105,562.08 : x
  2. Step 2: Convert to fraction form
    122,095.80/182,848.42 = 105,562.08/x
  3. Step 3: Cross multiply
    122,095.80x = 182,848.42 × 105,562.08
  4. Step 4: Simplify right side
    122,095.80x = 19,301,859,539.91
  5. Step 5: Solve for x
    x = 19,301,859,539.91/122,095.80
  6. Step 6: Final answer
    x = 158,087.83

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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.