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Finding the Fourth Proportional to 165,643.12, 228,527.47 and 93,981.63

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Solution

The fourth proportional to 165,643.12, 228,527.47 and 93,981.63 is: 129,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,643.12 : 228,527.47 = 93,981.63 : x
  2. Step 2: Convert to fraction form
    165,643.12/228,527.47 = 93,981.63/x
  3. Step 3: Cross multiply
    165,643.12x = 228,527.47 × 93,981.63
  4. Step 4: Simplify right side
    165,643.12x = 21,477,384,130.38
  5. Step 5: Solve for x
    x = 21,477,384,130.38/165,643.12
  6. Step 6: Final answer
    x = 129,660.59

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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.