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Finding the Fourth Proportional to 231,206.28, 319,054.86 and 145,210.20

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Solution

The fourth proportional to 231,206.28, 319,054.86 and 145,210.20 is: 200,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,206.28 : 319,054.86 = 145,210.20 : x
  2. Step 2: Convert to fraction form
    231,206.28/319,054.86 = 145,210.20/x
  3. Step 3: Cross multiply
    231,206.28x = 319,054.86 × 145,210.20
  4. Step 4: Simplify right side
    231,206.28x = 46,330,020,031.57
  5. Step 5: Solve for x
    x = 46,330,020,031.57/231,206.28
  6. Step 6: Final answer
    x = 200,383.92

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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.