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Finding the Fourth Proportional to 228,035.71, 314,689.08 and 137,395.50

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Solution

The fourth proportional to 228,035.71, 314,689.08 and 137,395.50 is: 189,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,035.71 : 314,689.08 = 137,395.50 : x
  2. Step 2: Convert to fraction form
    228,035.71/314,689.08 = 137,395.50/x
  3. Step 3: Cross multiply
    228,035.71x = 314,689.08 × 137,395.50
  4. Step 4: Simplify right side
    228,035.71x = 43,236,863,491.14
  5. Step 5: Solve for x
    x = 43,236,863,491.14/228,035.71
  6. Step 6: Final answer
    x = 189,605.67

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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.