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Finding the Fourth Proportional to 358,408.16, 537,700.80 and 148,106.24

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Solution

The fourth proportional to 358,408.16, 537,700.80 and 148,106.24 is: 222,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,408.16 : 537,700.80 = 148,106.24 : x
  2. Step 2: Convert to fraction form
    358,408.16/537,700.80 = 148,106.24/x
  3. Step 3: Cross multiply
    358,408.16x = 537,700.80 × 148,106.24
  4. Step 4: Simplify right side
    358,408.16x = 79,636,843,732.99
  5. Step 5: Solve for x
    x = 79,636,843,732.99/358,408.16
  6. Step 6: Final answer
    x = 222,195.96

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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.