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Finding the Fourth Proportional to 118,693.80, 178,040.70 and 35,587.80

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Solution

The fourth proportional to 118,693.80, 178,040.70 and 35,587.80 is: 53,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,693.80 : 178,040.70 = 35,587.80 : x
  2. Step 2: Convert to fraction form
    118,693.80/178,040.70 = 35,587.80/x
  3. Step 3: Cross multiply
    118,693.80x = 178,040.70 × 35,587.80
  4. Step 4: Simplify right side
    118,693.80x = 6,336,076,823.46
  5. Step 5: Solve for x
    x = 6,336,076,823.46/118,693.80
  6. Step 6: Final answer
    x = 53,381.70

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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.