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Finding the Fourth Proportional to 283,352.16, 425,203.12 and 117,140

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Solution

The fourth proportional to 283,352.16, 425,203.12 and 117,140 is: 175,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,352.16 : 425,203.12 = 117,140 : x
  2. Step 2: Convert to fraction form
    283,352.16/425,203.12 = 117,140/x
  3. Step 3: Cross multiply
    283,352.16x = 425,203.12 × 117,140
  4. Step 4: Simplify right side
    283,352.16x = 49,808,293,476.80
  5. Step 5: Solve for x
    x = 49,808,293,476.80/283,352.16
  6. Step 6: Final answer
    x = 175,782.30

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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.