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Finding the Fourth Proportional to 164,668.51, 227,404.01 and 140,655.25

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Solution

The fourth proportional to 164,668.51, 227,404.01 and 140,655.25 is: 194,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,668.51 : 227,404.01 = 140,655.25 : x
  2. Step 2: Convert to fraction form
    164,668.51/227,404.01 = 140,655.25/x
  3. Step 3: Cross multiply
    164,668.51x = 227,404.01 × 140,655.25
  4. Step 4: Simplify right side
    164,668.51x = 31,985,566,037.26
  5. Step 5: Solve for x
    x = 31,985,566,037.26/164,668.51
  6. Step 6: Final answer
    x = 194,242.16

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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.