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Finding the Fourth Proportional to 186,661.72, 257,594.34 and 101,780.20

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Solution

The fourth proportional to 186,661.72, 257,594.34 and 101,780.20 is: 140,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,661.72 : 257,594.34 = 101,780.20 : x
  2. Step 2: Convert to fraction form
    186,661.72/257,594.34 = 101,780.20/x
  3. Step 3: Cross multiply
    186,661.72x = 257,594.34 × 101,780.20
  4. Step 4: Simplify right side
    186,661.72x = 26,218,003,444.07
  5. Step 5: Solve for x
    x = 26,218,003,444.07/186,661.72
  6. Step 6: Final answer
    x = 140,457.31

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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.