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Finding the Fourth Proportional to 142,762.40, 214,143.60 and 76,407.20

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Solution

The fourth proportional to 142,762.40, 214,143.60 and 76,407.20 is: 114,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,762.40 : 214,143.60 = 76,407.20 : x
  2. Step 2: Convert to fraction form
    142,762.40/214,143.60 = 76,407.20/x
  3. Step 3: Cross multiply
    142,762.40x = 214,143.60 × 76,407.20
  4. Step 4: Simplify right side
    142,762.40x = 16,362,112,873.92
  5. Step 5: Solve for x
    x = 16,362,112,873.92/142,762.40
  6. Step 6: Final answer
    x = 114,610.80

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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.