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Finding the Fourth Proportional to 186,592.60, 257,497.14 and 101,709.66

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Solution

The fourth proportional to 186,592.60, 257,497.14 and 101,709.66 is: 140,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,592.60 : 257,497.14 = 101,709.66 : x
  2. Step 2: Convert to fraction form
    186,592.60/257,497.14 = 101,709.66/x
  3. Step 3: Cross multiply
    186,592.60x = 257,497.14 × 101,709.66
  4. Step 4: Simplify right side
    186,592.60x = 26,189,946,560.37
  5. Step 5: Solve for x
    x = 26,189,946,560.37/186,592.60
  6. Step 6: Final answer
    x = 140,358.98

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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.