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Finding the Fourth Proportional to 186,584.76, 257,485.37 and 101,700

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Solution

The fourth proportional to 186,584.76, 257,485.37 and 101,700 is: 140,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,584.76 : 257,485.37 = 101,700 : x
  2. Step 2: Convert to fraction form
    186,584.76/257,485.37 = 101,700/x
  3. Step 3: Cross multiply
    186,584.76x = 257,485.37 × 101,700
  4. Step 4: Simplify right side
    186,584.76x = 26,186,261,620.50
  5. Step 5: Solve for x
    x = 26,186,261,620.50/186,584.76
  6. Step 6: Final answer
    x = 140,345.13

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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.