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Finding the Fourth Proportional to 161,402, 242,141.88 and 50,594

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Solution

The fourth proportional to 161,402, 242,141.88 and 50,594 is: 75,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,402 : 242,141.88 = 50,594 : x
  2. Step 2: Convert to fraction form
    161,402/242,141.88 = 50,594/x
  3. Step 3: Cross multiply
    161,402x = 242,141.88 × 50,594
  4. Step 4: Simplify right side
    161,402x = 12,250,926,276.72
  5. Step 5: Solve for x
    x = 12,250,926,276.72/161,402
  6. Step 6: Final answer
    x = 75,903.19

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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.