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Finding the Fourth Proportional to 229,854.60, 344,043.16 and 122,971.88

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Solution

The fourth proportional to 229,854.60, 344,043.16 and 122,971.88 is: 184,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,854.60 : 344,043.16 = 122,971.88 : x
  2. Step 2: Convert to fraction form
    229,854.60/344,043.16 = 122,971.88/x
  3. Step 3: Cross multiply
    229,854.60x = 344,043.16 × 122,971.88
  4. Step 4: Simplify right side
    229,854.60x = 42,307,634,186.34
  5. Step 5: Solve for x
    x = 42,307,634,186.34/229,854.60
  6. Step 6: Final answer
    x = 184,062.60

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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.