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Finding the Fourth Proportional to 219,533.42, 302,956.62 and 118,931.42

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Solution

The fourth proportional to 219,533.42, 302,956.62 and 118,931.42 is: 164,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,533.42 : 302,956.62 = 118,931.42 : x
  2. Step 2: Convert to fraction form
    219,533.42/302,956.62 = 118,931.42/x
  3. Step 3: Cross multiply
    219,533.42x = 302,956.62 × 118,931.42
  4. Step 4: Simplify right side
    219,533.42x = 36,031,061,015.00
  5. Step 5: Solve for x
    x = 36,031,061,015.00/219,533.42
  6. Step 6: Final answer
    x = 164,125.63

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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.