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Finding the Fourth Proportional to 186,686.24, 257,604.10 and 114,125.64

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Solution

The fourth proportional to 186,686.24, 257,604.10 and 114,125.64 is: 157,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,686.24 : 257,604.10 = 114,125.64 : x
  2. Step 2: Convert to fraction form
    186,686.24/257,604.10 = 114,125.64/x
  3. Step 3: Cross multiply
    186,686.24x = 257,604.10 × 114,125.64
  4. Step 4: Simplify right side
    186,686.24x = 29,399,232,779.12
  5. Step 5: Solve for x
    x = 29,399,232,779.12/186,686.24
  6. Step 6: Final answer
    x = 157,479.38

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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.