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Finding the Fourth Proportional to 116,425, 160,666.50 and 63,433

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Solution

The fourth proportional to 116,425, 160,666.50 and 63,433 is: 87,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,425 : 160,666.50 = 63,433 : x
  2. Step 2: Convert to fraction form
    116,425/160,666.50 = 63,433/x
  3. Step 3: Cross multiply
    116,425x = 160,666.50 × 63,433
  4. Step 4: Simplify right side
    116,425x = 10,191,558,094.50
  5. Step 5: Solve for x
    x = 10,191,558,094.50/116,425
  6. Step 6: Final answer
    x = 87,537.54

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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.