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Finding the Fourth Proportional to 160,804.46, 221,904.51 and 89,191.14

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Solution

The fourth proportional to 160,804.46, 221,904.51 and 89,191.14 is: 123,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,804.46 : 221,904.51 = 89,191.14 : x
  2. Step 2: Convert to fraction form
    160,804.46/221,904.51 = 89,191.14/x
  3. Step 3: Cross multiply
    160,804.46x = 221,904.51 × 89,191.14
  4. Step 4: Simplify right side
    160,804.46x = 19,791,916,218.04
  5. Step 5: Solve for x
    x = 19,791,916,218.04/160,804.46
  6. Step 6: Final answer
    x = 123,080.65

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Why These Related Problems?

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