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Finding the Fourth Proportional to 302,011.83, 452,835.88 and 133,446.06

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Solution

The fourth proportional to 302,011.83, 452,835.88 and 133,446.06 is: 200,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,011.83 : 452,835.88 = 133,446.06 : x
  2. Step 2: Convert to fraction form
    302,011.83/452,835.88 = 133,446.06/x
  3. Step 3: Cross multiply
    302,011.83x = 452,835.88 × 133,446.06
  4. Step 4: Simplify right side
    302,011.83x = 60,429,163,679.02
  5. Step 5: Solve for x
    x = 60,429,163,679.02/302,011.83
  6. Step 6: Final answer
    x = 200,088.73

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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.