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Finding the Fourth Proportional to 160,492.57, 221,551.28 and 106,077.51

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Solution

The fourth proportional to 160,492.57, 221,551.28 and 106,077.51 is: 146,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,492.57 : 221,551.28 = 106,077.51 : x
  2. Step 2: Convert to fraction form
    160,492.57/221,551.28 = 106,077.51/x
  3. Step 3: Cross multiply
    160,492.57x = 221,551.28 × 106,077.51
  4. Step 4: Simplify right side
    160,492.57x = 23,501,608,143.20
  5. Step 5: Solve for x
    x = 23,501,608,143.20/160,492.57
  6. Step 6: Final answer
    x = 146,434.24

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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.