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Finding the Fourth Proportional to 186,580.60, 257,480.62 and 101,697.66

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Solution

The fourth proportional to 186,580.60, 257,480.62 and 101,697.66 is: 140,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,580.60 : 257,480.62 = 101,697.66 : x
  2. Step 2: Convert to fraction form
    186,580.60/257,480.62 = 101,697.66/x
  3. Step 3: Cross multiply
    186,580.60x = 257,480.62 × 101,697.66
  4. Step 4: Simplify right side
    186,580.60x = 26,185,176,295.11
  5. Step 5: Solve for x
    x = 26,185,176,295.11/186,580.60
  6. Step 6: Final answer
    x = 140,342.44

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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.