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Finding the Fourth Proportional to 118,946, 178,488.12 and 53,282

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Solution

The fourth proportional to 118,946, 178,488.12 and 53,282 is: 79,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,946 : 178,488.12 = 53,282 : x
  2. Step 2: Convert to fraction form
    118,946/178,488.12 = 53,282/x
  3. Step 3: Cross multiply
    118,946x = 178,488.12 × 53,282
  4. Step 4: Simplify right side
    118,946x = 9,510,204,009.84
  5. Step 5: Solve for x
    x = 9,510,204,009.84/118,946
  6. Step 6: Final answer
    x = 79,953.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.