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Finding the Fourth Proportional to 257,380.40, 385,890.60 and 152,145.20

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Solution

The fourth proportional to 257,380.40, 385,890.60 and 152,145.20 is: 228,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,380.40 : 385,890.60 = 152,145.20 : x
  2. Step 2: Convert to fraction form
    257,380.40/385,890.60 = 152,145.20/x
  3. Step 3: Cross multiply
    257,380.40x = 385,890.60 × 152,145.20
  4. Step 4: Simplify right side
    257,380.40x = 58,711,402,515.12
  5. Step 5: Solve for x
    x = 58,711,402,515.12/257,380.40
  6. Step 6: Final answer
    x = 228,111.40

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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.