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Finding the Fourth Proportional to 186,555.83, 257,373.83 and 114,811.30

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Solution

The fourth proportional to 186,555.83, 257,373.83 and 114,811.30 is: 158,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,555.83 : 257,373.83 = 114,811.30 : x
  2. Step 2: Convert to fraction form
    186,555.83/257,373.83 = 114,811.30/x
  3. Step 3: Cross multiply
    186,555.83x = 257,373.83 × 114,811.30
  4. Step 4: Simplify right side
    186,555.83x = 29,549,422,147.35
  5. Step 5: Solve for x
    x = 29,549,422,147.35/186,555.83
  6. Step 6: Final answer
    x = 158,394.53

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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.