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Finding the Fourth Proportional to 164,838, 227,477.86 and 89,386.50

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Solution

The fourth proportional to 164,838, 227,477.86 and 89,386.50 is: 123,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,838 : 227,477.86 = 89,386.50 : x
  2. Step 2: Convert to fraction form
    164,838/227,477.86 = 89,386.50/x
  3. Step 3: Cross multiply
    164,838x = 227,477.86 × 89,386.50
  4. Step 4: Simplify right side
    164,838x = 20,333,449,732.89
  5. Step 5: Solve for x
    x = 20,333,449,732.89/164,838
  6. Step 6: Final answer
    x = 123,354.14

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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.