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Finding the Fourth Proportional to 219,444.52, 302,832.30 and 118,842.52

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Solution

The fourth proportional to 219,444.52, 302,832.30 and 118,842.52 is: 164,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,444.52 : 302,832.30 = 118,842.52 : x
  2. Step 2: Convert to fraction form
    219,444.52/302,832.30 = 118,842.52/x
  3. Step 3: Cross multiply
    219,444.52x = 302,832.30 × 118,842.52
  4. Step 4: Simplify right side
    219,444.52x = 35,989,353,669.40
  5. Step 5: Solve for x
    x = 35,989,353,669.40/219,444.52
  6. Step 6: Final answer
    x = 164,002.06

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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.