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Finding the Fourth Proportional to 219,491.02, 302,897.64 and 118,889.02

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Solution

The fourth proportional to 219,491.02, 302,897.64 and 118,889.02 is: 164,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,491.02 : 302,897.64 = 118,889.02 : x
  2. Step 2: Convert to fraction form
    219,491.02/302,897.64 = 118,889.02/x
  3. Step 3: Cross multiply
    219,491.02x = 302,897.64 × 118,889.02
  4. Step 4: Simplify right side
    219,491.02x = 36,011,203,579.91
  5. Step 5: Solve for x
    x = 36,011,203,579.91/219,491.02
  6. Step 6: Final answer
    x = 164,066.87

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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.