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Finding the Fourth Proportional to 142,386.76, 213,968.13 and 75,874.42

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Solution

The fourth proportional to 142,386.76, 213,968.13 and 75,874.42 is: 114,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,386.76 : 213,968.13 = 75,874.42 : x
  2. Step 2: Convert to fraction form
    142,386.76/213,968.13 = 75,874.42/x
  3. Step 3: Cross multiply
    142,386.76x = 213,968.13 × 75,874.42
  4. Step 4: Simplify right side
    142,386.76x = 16,234,707,762.23
  5. Step 5: Solve for x
    x = 16,234,707,762.23/142,386.76
  6. Step 6: Final answer
    x = 114,018.38

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1.5x scale

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.