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Finding the Fourth Proportional to 306,522.64, 459,842.28 and 96,104.08

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Solution

The fourth proportional to 306,522.64, 459,842.28 and 96,104.08 is: 144,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,522.64 : 459,842.28 = 96,104.08 : x
  2. Step 2: Convert to fraction form
    306,522.64/459,842.28 = 96,104.08/x
  3. Step 3: Cross multiply
    306,522.64x = 459,842.28 × 96,104.08
  4. Step 4: Simplify right side
    306,522.64x = 44,192,719,264.50
  5. Step 5: Solve for x
    x = 44,192,719,264.50/306,522.64
  6. Step 6: Final answer
    x = 144,174.41

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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.