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Finding the Fourth Proportional to 161,471.74, 242,050.50 and 77,210.04

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Solution

The fourth proportional to 161,471.74, 242,050.50 and 77,210.04 is: 115,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,471.74 : 242,050.50 = 77,210.04 : x
  2. Step 2: Convert to fraction form
    161,471.74/242,050.50 = 77,210.04/x
  3. Step 3: Cross multiply
    161,471.74x = 242,050.50 × 77,210.04
  4. Step 4: Simplify right side
    161,471.74x = 18,688,728,787.02
  5. Step 5: Solve for x
    x = 18,688,728,787.02/161,471.74
  6. Step 6: Final answer
    x = 115,739.94

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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.