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Finding the Fourth Proportional to 118,901.44, 178,332.72 and 35,776

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Solution

The fourth proportional to 118,901.44, 178,332.72 and 35,776 is: 53,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,901.44 : 178,332.72 = 35,776 : x
  2. Step 2: Convert to fraction form
    118,901.44/178,332.72 = 35,776/x
  3. Step 3: Cross multiply
    118,901.44x = 178,332.72 × 35,776
  4. Step 4: Simplify right side
    118,901.44x = 6,380,031,390.72
  5. Step 5: Solve for x
    x = 6,380,031,390.72/118,901.44
  6. Step 6: Final answer
    x = 53,658.15

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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.