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Finding the Fourth Proportional to 364,098.55, 545,983.80 and 139,384.30

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Solution

The fourth proportional to 364,098.55, 545,983.80 and 139,384.30 is: 209,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,098.55 : 545,983.80 = 139,384.30 : x
  2. Step 2: Convert to fraction form
    364,098.55/545,983.80 = 139,384.30/x
  3. Step 3: Cross multiply
    364,098.55x = 545,983.80 × 139,384.30
  4. Step 4: Simplify right side
    364,098.55x = 76,101,569,774.34
  5. Step 5: Solve for x
    x = 76,101,569,774.34/364,098.55
  6. Step 6: Final answer
    x = 209,013.66

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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.