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Finding the Fourth Proportional to 181,492.80, 272,368.80 and 102,523.20

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Solution

The fourth proportional to 181,492.80, 272,368.80 and 102,523.20 is: 153,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,492.80 : 272,368.80 = 102,523.20 : x
  2. Step 2: Convert to fraction form
    181,492.80/272,368.80 = 102,523.20/x
  3. Step 3: Cross multiply
    181,492.80x = 272,368.80 × 102,523.20
  4. Step 4: Simplify right side
    181,492.80x = 27,924,120,956.16
  5. Step 5: Solve for x
    x = 27,924,120,956.16/181,492.80
  6. Step 6: Final answer
    x = 153,858.01

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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.