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Finding the Fourth Proportional to 164,499, 227,009.37 and 89,047.50

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Solution

The fourth proportional to 164,499, 227,009.37 and 89,047.50 is: 122,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,499 : 227,009.37 = 89,047.50 : x
  2. Step 2: Convert to fraction form
    164,499/227,009.37 = 89,047.50/x
  3. Step 3: Cross multiply
    164,499x = 227,009.37 × 89,047.50
  4. Step 4: Simplify right side
    164,499x = 20,214,616,875.08
  5. Step 5: Solve for x
    x = 20,214,616,875.08/164,499
  6. Step 6: Final answer
    x = 122,885.96

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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.