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Finding the Fourth Proportional to 161,497.38, 242,243.91 and 56,316

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Solution

The fourth proportional to 161,497.38, 242,243.91 and 56,316 is: 84,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,497.38 : 242,243.91 = 56,316 : x
  2. Step 2: Convert to fraction form
    161,497.38/242,243.91 = 56,316/x
  3. Step 3: Cross multiply
    161,497.38x = 242,243.91 × 56,316
  4. Step 4: Simplify right side
    161,497.38x = 13,642,208,035.56
  5. Step 5: Solve for x
    x = 13,642,208,035.56/161,497.38
  6. Step 6: Final answer
    x = 84,473.25

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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.