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Finding the Fourth Proportional to 219,104.32, 302,373.12 and 138,502.84

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Solution

The fourth proportional to 219,104.32, 302,373.12 and 138,502.84 is: 191,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,104.32 : 302,373.12 = 138,502.84 : x
  2. Step 2: Convert to fraction form
    219,104.32/302,373.12 = 138,502.84/x
  3. Step 3: Cross multiply
    219,104.32x = 302,373.12 × 138,502.84
  4. Step 4: Simplify right side
    219,104.32x = 41,879,535,859.66
  5. Step 5: Solve for x
    x = 41,879,535,859.66/219,104.32
  6. Step 6: Final answer
    x = 191,139.71

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