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Finding the Fourth Proportional to 342,087.57, 513,253.58 and 152,530.94

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Solution

The fourth proportional to 342,087.57, 513,253.58 and 152,530.94 is: 228,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,087.57 : 513,253.58 = 152,530.94 : x
  2. Step 2: Convert to fraction form
    342,087.57/513,253.58 = 152,530.94/x
  3. Step 3: Cross multiply
    342,087.57x = 513,253.58 × 152,530.94
  4. Step 4: Simplify right side
    342,087.57x = 78,287,051,536.24
  5. Step 5: Solve for x
    x = 78,287,051,536.24/342,087.57
  6. Step 6: Final answer
    x = 228,850.91

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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.