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Finding the Fourth Proportional to 161,361.48, 242,036.64 and 61,518

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Solution

The fourth proportional to 161,361.48, 242,036.64 and 61,518 is: 92,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,361.48 : 242,036.64 = 61,518 : x
  2. Step 2: Convert to fraction form
    161,361.48/242,036.64 = 61,518/x
  3. Step 3: Cross multiply
    161,361.48x = 242,036.64 × 61,518
  4. Step 4: Simplify right side
    161,361.48x = 14,889,610,019.52
  5. Step 5: Solve for x
    x = 14,889,610,019.52/161,361.48
  6. Step 6: Final answer
    x = 92,274.87

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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.