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Finding the Fourth Proportional to 164,250, 226,665 and 88,798.50

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Solution

The fourth proportional to 164,250, 226,665 and 88,798.50 is: 122,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,250 : 226,665 = 88,798.50 : x
  2. Step 2: Convert to fraction form
    164,250/226,665 = 88,798.50/x
  3. Step 3: Cross multiply
    164,250x = 226,665 × 88,798.50
  4. Step 4: Simplify right side
    164,250x = 20,127,512,002.50
  5. Step 5: Solve for x
    x = 20,127,512,002.50/164,250
  6. Step 6: Final answer
    x = 122,541.93

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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.