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Finding the Fourth Proportional to 256,048.08, 383,328.36 and 149,106

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Solution

The fourth proportional to 256,048.08, 383,328.36 and 149,106 is: 223,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,048.08 : 383,328.36 = 149,106 : x
  2. Step 2: Convert to fraction form
    256,048.08/383,328.36 = 149,106/x
  3. Step 3: Cross multiply
    256,048.08x = 383,328.36 × 149,106
  4. Step 4: Simplify right side
    256,048.08x = 57,156,558,446.16
  5. Step 5: Solve for x
    x = 57,156,558,446.16/256,048.08
  6. Step 6: Final answer
    x = 223,225.88

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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.