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Finding the Fourth Proportional to 238,317.04, 357,436.21 and 78,394.96

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Solution

The fourth proportional to 238,317.04, 357,436.21 and 78,394.96 is: 117,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,317.04 : 357,436.21 = 78,394.96 : x
  2. Step 2: Convert to fraction form
    238,317.04/357,436.21 = 78,394.96/x
  3. Step 3: Cross multiply
    238,317.04x = 357,436.21 × 78,394.96
  4. Step 4: Simplify right side
    238,317.04x = 28,021,197,385.50
  5. Step 5: Solve for x
    x = 28,021,197,385.50/238,317.04
  6. Step 6: Final answer
    x = 117,579.50

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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.