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Finding the Fourth Proportional to 219,062.63, 302,306.44 and 118,460.63

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Solution

The fourth proportional to 219,062.63, 302,306.44 and 118,460.63 is: 163,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,062.63 : 302,306.44 = 118,460.63 : x
  2. Step 2: Convert to fraction form
    219,062.63/302,306.44 = 118,460.63/x
  3. Step 3: Cross multiply
    219,062.63x = 302,306.44 × 118,460.63
  4. Step 4: Simplify right side
    219,062.63x = 35,811,409,527.77
  5. Step 5: Solve for x
    x = 35,811,409,527.77/219,062.63
  6. Step 6: Final answer
    x = 163,475.67

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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.