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Finding the Fourth Proportional to 161,803.16, 242,814.04 and 56,623.04

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Solution

The fourth proportional to 161,803.16, 242,814.04 and 56,623.04 is: 84,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,803.16 : 242,814.04 = 56,623.04 : x
  2. Step 2: Convert to fraction form
    161,803.16/242,814.04 = 56,623.04/x
  3. Step 3: Cross multiply
    161,803.16x = 242,814.04 × 56,623.04
  4. Step 4: Simplify right side
    161,803.16x = 13,748,869,099.48
  5. Step 5: Solve for x
    x = 13,748,869,099.48/161,803.16
  6. Step 6: Final answer
    x = 84,972.81

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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.