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Finding the Fourth Proportional to 145,893.30, 218,752.35 and 57,040.86

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Solution

The fourth proportional to 145,893.30, 218,752.35 and 57,040.86 is: 85,527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,893.30 : 218,752.35 = 57,040.86 : x
  2. Step 2: Convert to fraction form
    145,893.30/218,752.35 = 57,040.86/x
  3. Step 3: Cross multiply
    145,893.30x = 218,752.35 × 57,040.86
  4. Step 4: Simplify right side
    145,893.30x = 12,477,822,171.02
  5. Step 5: Solve for x
    x = 12,477,822,171.02/145,893.30
  6. Step 6: Final answer
    x = 85,527.04

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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.