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Finding the Fourth Proportional to 160,588.95, 221,716.74 and 103,254

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Solution

The fourth proportional to 160,588.95, 221,716.74 and 103,254 is: 142,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,588.95 : 221,716.74 = 103,254 : x
  2. Step 2: Convert to fraction form
    160,588.95/221,716.74 = 103,254/x
  3. Step 3: Cross multiply
    160,588.95x = 221,716.74 × 103,254
  4. Step 4: Simplify right side
    160,588.95x = 22,893,140,271.96
  5. Step 5: Solve for x
    x = 22,893,140,271.96/160,588.95
  6. Step 6: Final answer
    x = 142,557.38

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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.