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Finding the Fourth Proportional to 142,812.60, 214,014.10 and 105,078.20

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Solution

The fourth proportional to 142,812.60, 214,014.10 and 105,078.20 is: 157,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,812.60 : 214,014.10 = 105,078.20 : x
  2. Step 2: Convert to fraction form
    142,812.60/214,014.10 = 105,078.20/x
  3. Step 3: Cross multiply
    142,812.60x = 214,014.10 × 105,078.20
  4. Step 4: Simplify right side
    142,812.60x = 22,488,216,402.62
  5. Step 5: Solve for x
    x = 22,488,216,402.62/142,812.60
  6. Step 6: Final answer
    x = 157,466.61

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