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Finding the Fourth Proportional to 320,492.16, 480,748.08 and 110,127.12

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Solution

The fourth proportional to 320,492.16, 480,748.08 and 110,127.12 is: 165,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,492.16 : 480,748.08 = 110,127.12 : x
  2. Step 2: Convert to fraction form
    320,492.16/480,748.08 = 110,127.12/x
  3. Step 3: Cross multiply
    320,492.16x = 480,748.08 × 110,127.12
  4. Step 4: Simplify right side
    320,492.16x = 52,943,401,495.93
  5. Step 5: Solve for x
    x = 52,943,401,495.93/320,492.16
  6. Step 6: Final answer
    x = 165,194.06

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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.