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Finding the Fourth Proportional to 162,878.84, 244,475.96 and 78,698.24

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Solution

The fourth proportional to 162,878.84, 244,475.96 and 78,698.24 is: 118,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,878.84 : 244,475.96 = 78,698.24 : x
  2. Step 2: Convert to fraction form
    162,878.84/244,475.96 = 78,698.24/x
  3. Step 3: Cross multiply
    162,878.84x = 244,475.96 × 78,698.24
  4. Step 4: Simplify right side
    162,878.84x = 19,239,827,774.31
  5. Step 5: Solve for x
    x = 19,239,827,774.31/162,878.84
  6. Step 6: Final answer
    x = 118,123.56

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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.