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Finding the Fourth Proportional to 225,302.93, 338,391.80 and 165,904.01

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Solution

The fourth proportional to 225,302.93, 338,391.80 and 165,904.01 is: 249,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,302.93 : 338,391.80 = 165,904.01 : x
  2. Step 2: Convert to fraction form
    225,302.93/338,391.80 = 165,904.01/x
  3. Step 3: Cross multiply
    225,302.93x = 338,391.80 × 165,904.01
  4. Step 4: Simplify right side
    225,302.93x = 56,140,556,571.12
  5. Step 5: Solve for x
    x = 56,140,556,571.12/225,302.93
  6. Step 6: Final answer
    x = 249,178.10

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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.