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Finding the Fourth Proportional to 219,534, 302,960.16 and 118,932

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Solution

The fourth proportional to 219,534, 302,960.16 and 118,932 is: 164,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,534 : 302,960.16 = 118,932 : x
  2. Step 2: Convert to fraction form
    219,534/302,960.16 = 118,932/x
  3. Step 3: Cross multiply
    219,534x = 302,960.16 × 118,932
  4. Step 4: Simplify right side
    219,534x = 36,031,657,749.12
  5. Step 5: Solve for x
    x = 36,031,657,749.12/219,534
  6. Step 6: Final answer
    x = 164,127.92

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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.