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Finding the Fourth Proportional to 210,053.73, 289,870.62 and 114,554.73

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Solution

The fourth proportional to 210,053.73, 289,870.62 and 114,554.73 is: 158,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,053.73 : 289,870.62 = 114,554.73 : x
  2. Step 2: Convert to fraction form
    210,053.73/289,870.62 = 114,554.73/x
  3. Step 3: Cross multiply
    210,053.73x = 289,870.62 × 114,554.73
  4. Step 4: Simplify right side
    210,053.73x = 33,206,050,609.03
  5. Step 5: Solve for x
    x = 33,206,050,609.03/210,053.73
  6. Step 6: Final answer
    x = 158,083.60

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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.