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Finding the Fourth Proportional to 355,442.70, 532,969.65 and 144,842.70

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Solution

The fourth proportional to 355,442.70, 532,969.65 and 144,842.70 is: 217,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,442.70 : 532,969.65 = 144,842.70 : x
  2. Step 2: Convert to fraction form
    355,442.70/532,969.65 = 144,842.70/x
  3. Step 3: Cross multiply
    355,442.70x = 532,969.65 × 144,842.70
  4. Step 4: Simplify right side
    355,442.70x = 77,196,763,124.06
  5. Step 5: Solve for x
    x = 77,196,763,124.06/355,442.70
  6. Step 6: Final answer
    x = 217,184.83

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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.