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Finding the Fourth Proportional to 162,922.31, 244,065.32 and 77,411.48

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Solution

The fourth proportional to 162,922.31, 244,065.32 and 77,411.48 is: 115,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,922.31 : 244,065.32 = 77,411.48 : x
  2. Step 2: Convert to fraction form
    162,922.31/244,065.32 = 77,411.48/x
  3. Step 3: Cross multiply
    162,922.31x = 244,065.32 × 77,411.48
  4. Step 4: Simplify right side
    162,922.31x = 18,893,457,693.65
  5. Step 5: Solve for x
    x = 18,893,457,693.65/162,922.31
  6. Step 6: Final answer
    x = 115,966.05

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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.