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Finding the Fourth Proportional to 189,957.60, 262,170 and 114,547.68

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Solution

The fourth proportional to 189,957.60, 262,170 and 114,547.68 is: 158,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,957.60 : 262,170 = 114,547.68 : x
  2. Step 2: Convert to fraction form
    189,957.60/262,170 = 114,547.68/x
  3. Step 3: Cross multiply
    189,957.60x = 262,170 × 114,547.68
  4. Step 4: Simplify right side
    189,957.60x = 30,030,965,265.60
  5. Step 5: Solve for x
    x = 30,030,965,265.60/189,957.60
  6. Step 6: Final answer
    x = 158,092.99

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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.