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Finding the Fourth Proportional to 145,428.54, 200,625.78 and 84,972

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Solution

The fourth proportional to 145,428.54, 200,625.78 and 84,972 is: 117,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,428.54 : 200,625.78 = 84,972 : x
  2. Step 2: Convert to fraction form
    145,428.54/200,625.78 = 84,972/x
  3. Step 3: Cross multiply
    145,428.54x = 200,625.78 × 84,972
  4. Step 4: Simplify right side
    145,428.54x = 17,047,573,778.16
  5. Step 5: Solve for x
    x = 17,047,573,778.16/145,428.54
  6. Step 6: Final answer
    x = 117,223.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.