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Finding the Fourth Proportional to 219,199.64, 302,472.43 and 127,301.02

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Solution

The fourth proportional to 219,199.64, 302,472.43 and 127,301.02 is: 175,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,199.64 : 302,472.43 = 127,301.02 : x
  2. Step 2: Convert to fraction form
    219,199.64/302,472.43 = 127,301.02/x
  3. Step 3: Cross multiply
    219,199.64x = 302,472.43 × 127,301.02
  4. Step 4: Simplify right side
    219,199.64x = 38,505,047,786.45
  5. Step 5: Solve for x
    x = 38,505,047,786.45/219,199.64
  6. Step 6: Final answer
    x = 175,662.01

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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.