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Finding the Fourth Proportional to 257,856.68, 386,784.50 and 145,485.90

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Solution

The fourth proportional to 257,856.68, 386,784.50 and 145,485.90 is: 218,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,856.68 : 386,784.50 = 145,485.90 : x
  2. Step 2: Convert to fraction form
    257,856.68/386,784.50 = 145,485.90/x
  3. Step 3: Cross multiply
    257,856.68x = 386,784.50 × 145,485.90
  4. Step 4: Simplify right side
    257,856.68x = 56,271,691,088.55
  5. Step 5: Solve for x
    x = 56,271,691,088.55/257,856.68
  6. Step 6: Final answer
    x = 218,228.56

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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.