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Finding the Fourth Proportional to 253,248, 349,493.22 and 140,070.84

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Solution

The fourth proportional to 253,248, 349,493.22 and 140,070.84 is: 193,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,248 : 349,493.22 = 140,070.84 : x
  2. Step 2: Convert to fraction form
    253,248/349,493.22 = 140,070.84/x
  3. Step 3: Cross multiply
    253,248x = 349,493.22 × 140,070.84
  4. Step 4: Simplify right side
    253,248x = 48,953,808,899.70
  5. Step 5: Solve for x
    x = 48,953,808,899.70/253,248
  6. Step 6: Final answer
    x = 193,303.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.