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Finding the Fourth Proportional to 358,190.49, 537,100.74 and 105,438.14

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Solution

The fourth proportional to 358,190.49, 537,100.74 and 105,438.14 is: 158,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,190.49 : 537,100.74 = 105,438.14 : x
  2. Step 2: Convert to fraction form
    358,190.49/537,100.74 = 105,438.14/x
  3. Step 3: Cross multiply
    358,190.49x = 537,100.74 × 105,438.14
  4. Step 4: Simplify right side
    358,190.49x = 56,630,900,332.72
  5. Step 5: Solve for x
    x = 56,630,900,332.72/358,190.49
  6. Step 6: Final answer
    x = 158,102.75

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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.