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Finding the Fourth Proportional to 186,682.86, 257,621.31 and 101,798.10

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Solution

The fourth proportional to 186,682.86, 257,621.31 and 101,798.10 is: 140,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,682.86 : 257,621.31 = 101,798.10 : x
  2. Step 2: Convert to fraction form
    186,682.86/257,621.31 = 101,798.10/x
  3. Step 3: Cross multiply
    186,682.86x = 257,621.31 × 101,798.10
  4. Step 4: Simplify right side
    186,682.86x = 26,225,359,877.51
  5. Step 5: Solve for x
    x = 26,225,359,877.51/186,682.86
  6. Step 6: Final answer
    x = 140,480.81

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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.