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Finding the Fourth Proportional to 291,349.89, 402,070.38 and 164,030.04

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Solution

The fourth proportional to 291,349.89, 402,070.38 and 164,030.04 is: 226,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,349.89 : 402,070.38 = 164,030.04 : x
  2. Step 2: Convert to fraction form
    291,349.89/402,070.38 = 164,030.04/x
  3. Step 3: Cross multiply
    291,349.89x = 402,070.38 × 164,030.04
  4. Step 4: Simplify right side
    291,349.89x = 65,951,620,514.22
  5. Step 5: Solve for x
    x = 65,951,620,514.22/291,349.89
  6. Step 6: Final answer
    x = 226,365.70

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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.