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Finding the Fourth Proportional to 256,250.40, 383,857.20 and 145,312.80

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Solution

The fourth proportional to 256,250.40, 383,857.20 and 145,312.80 is: 217,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,250.40 : 383,857.20 = 145,312.80 : x
  2. Step 2: Convert to fraction form
    256,250.40/383,857.20 = 145,312.80/x
  3. Step 3: Cross multiply
    256,250.40x = 383,857.20 × 145,312.80
  4. Step 4: Simplify right side
    256,250.40x = 55,779,364,532.16
  5. Step 5: Solve for x
    x = 55,779,364,532.16/256,250.40
  6. Step 6: Final answer
    x = 217,675.23

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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.