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Finding the Fourth Proportional to 228,673.34, 342,945.18 and 144,307.11

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Solution

The fourth proportional to 228,673.34, 342,945.18 and 144,307.11 is: 216,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,673.34 : 342,945.18 = 144,307.11 : x
  2. Step 2: Convert to fraction form
    228,673.34/342,945.18 = 144,307.11/x
  3. Step 3: Cross multiply
    228,673.34x = 342,945.18 × 144,307.11
  4. Step 4: Simplify right side
    228,673.34x = 49,489,427,814.23
  5. Step 5: Solve for x
    x = 49,489,427,814.23/228,673.34
  6. Step 6: Final answer
    x = 216,419.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.