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Finding the Fourth Proportional to 229,114.90, 316,170.26 and 127,144.81

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Solution

The fourth proportional to 229,114.90, 316,170.26 and 127,144.81 is: 175,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,114.90 : 316,170.26 = 127,144.81 : x
  2. Step 2: Convert to fraction form
    229,114.90/316,170.26 = 127,144.81/x
  3. Step 3: Cross multiply
    229,114.90x = 316,170.26 × 127,144.81
  4. Step 4: Simplify right side
    229,114.90x = 40,199,406,999.63
  5. Step 5: Solve for x
    x = 40,199,406,999.63/229,114.90
  6. Step 6: Final answer
    x = 175,455.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.