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Finding the Fourth Proportional to 186,741.34, 257,702.97 and 101,858.92

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Solution

The fourth proportional to 186,741.34, 257,702.97 and 101,858.92 is: 140,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,741.34 : 257,702.97 = 101,858.92 : x
  2. Step 2: Convert to fraction form
    186,741.34/257,702.97 = 101,858.92/x
  3. Step 3: Cross multiply
    186,741.34x = 257,702.97 × 101,858.92
  4. Step 4: Simplify right side
    186,741.34x = 26,249,346,204.99
  5. Step 5: Solve for x
    x = 26,249,346,204.99/186,741.34
  6. Step 6: Final answer
    x = 140,565.27

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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.