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Finding the Fourth Proportional to 358,223.84, 537,523.92 and 158,682.08

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Solution

The fourth proportional to 358,223.84, 537,523.92 and 158,682.08 is: 238,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,223.84 : 537,523.92 = 158,682.08 : x
  2. Step 2: Convert to fraction form
    358,223.84/537,523.92 = 158,682.08/x
  3. Step 3: Cross multiply
    358,223.84x = 537,523.92 × 158,682.08
  4. Step 4: Simplify right side
    358,223.84x = 85,295,413,675.35
  5. Step 5: Solve for x
    x = 85,295,413,675.35/358,223.84
  6. Step 6: Final answer
    x = 238,106.47

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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.