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Finding the Fourth Proportional to 228,020.10, 342,030.15 and 144,039.30

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Solution

The fourth proportional to 228,020.10, 342,030.15 and 144,039.30 is: 216,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,020.10 : 342,030.15 = 144,039.30 : x
  2. Step 2: Convert to fraction form
    228,020.10/342,030.15 = 144,039.30/x
  3. Step 3: Cross multiply
    228,020.10x = 342,030.15 × 144,039.30
  4. Step 4: Simplify right side
    228,020.10x = 49,265,783,384.90
  5. Step 5: Solve for x
    x = 49,265,783,384.90/228,020.10
  6. Step 6: Final answer
    x = 216,058.95

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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.