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Finding the Fourth Proportional to 229,656.01, 316,943.03 and 137,778.75

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Solution

The fourth proportional to 229,656.01, 316,943.03 and 137,778.75 is: 190,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,656.01 : 316,943.03 = 137,778.75 : x
  2. Step 2: Convert to fraction form
    229,656.01/316,943.03 = 137,778.75/x
  3. Step 3: Cross multiply
    229,656.01x = 316,943.03 × 137,778.75
  4. Step 4: Simplify right side
    229,656.01x = 43,668,014,494.61
  5. Step 5: Solve for x
    x = 43,668,014,494.61/229,656.01
  6. Step 6: Final answer
    x = 190,145.32

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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.