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Finding the Fourth Proportional to 229,779.48, 344,669.34 and 105,033

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Solution

The fourth proportional to 229,779.48, 344,669.34 and 105,033 is: 157,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,779.48 : 344,669.34 = 105,033 : x
  2. Step 2: Convert to fraction form
    229,779.48/344,669.34 = 105,033/x
  3. Step 3: Cross multiply
    229,779.48x = 344,669.34 × 105,033
  4. Step 4: Simplify right side
    229,779.48x = 36,201,654,788.22
  5. Step 5: Solve for x
    x = 36,201,654,788.22/229,779.48
  6. Step 6: Final answer
    x = 157,549.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.