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Finding the Fourth Proportional to 237,405.71, 327,619.00 and 135,430.98

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Solution

The fourth proportional to 237,405.71, 327,619.00 and 135,430.98 is: 186,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,405.71 : 327,619.00 = 135,430.98 : x
  2. Step 2: Convert to fraction form
    237,405.71/327,619.00 = 135,430.98/x
  3. Step 3: Cross multiply
    237,405.71x = 327,619.00 × 135,430.98
  4. Step 4: Simplify right side
    237,405.71x = 44,369,760,415.54
  5. Step 5: Solve for x
    x = 44,369,760,415.54/237,405.71
  6. Step 6: Final answer
    x = 186,894.25

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Why These Related Problems?

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