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Finding the Fourth Proportional to 118,971.94, 178,421.46 and 40,064.98

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Solution

The fourth proportional to 118,971.94, 178,421.46 and 40,064.98 is: 60,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,971.94 : 178,421.46 = 40,064.98 : x
  2. Step 2: Convert to fraction form
    118,971.94/178,421.46 = 40,064.98/x
  3. Step 3: Cross multiply
    118,971.94x = 178,421.46 × 40,064.98
  4. Step 4: Simplify right side
    118,971.94x = 7,148,452,226.47
  5. Step 5: Solve for x
    x = 7,148,452,226.47/118,971.94
  6. Step 6: Final answer
    x = 60,085.20

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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.