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Finding the Fourth Proportional to 304,771.83, 457,187.83 and 105,065.93

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Solution

The fourth proportional to 304,771.83, 457,187.83 and 105,065.93 is: 157,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,771.83 : 457,187.83 = 105,065.93 : x
  2. Step 2: Convert to fraction form
    304,771.83/457,187.83 = 105,065.93/x
  3. Step 3: Cross multiply
    304,771.83x = 457,187.83 × 105,065.93
  4. Step 4: Simplify right side
    304,771.83x = 48,034,862,852.26
  5. Step 5: Solve for x
    x = 48,034,862,852.26/304,771.83
  6. Step 6: Final answer
    x = 157,609.26

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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.