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Finding the Fourth Proportional to 283,392, 425,088 and 117,184.32

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Solution

The fourth proportional to 283,392, 425,088 and 117,184.32 is: 175,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,392 : 425,088 = 117,184.32 : x
  2. Step 2: Convert to fraction form
    283,392/425,088 = 117,184.32/x
  3. Step 3: Cross multiply
    283,392x = 425,088 × 117,184.32
  4. Step 4: Simplify right side
    283,392x = 49,813,648,220.16
  5. Step 5: Solve for x
    x = 49,813,648,220.16/283,392
  6. Step 6: Final answer
    x = 175,776.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.