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Finding the Fourth Proportional to 186,713.74, 280,114.44 and 114,746.86

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Solution

The fourth proportional to 186,713.74, 280,114.44 and 114,746.86 is: 172,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,713.74 : 280,114.44 = 114,746.86 : x
  2. Step 2: Convert to fraction form
    186,713.74/280,114.44 = 114,746.86/x
  3. Step 3: Cross multiply
    186,713.74x = 280,114.44 × 114,746.86
  4. Step 4: Simplify right side
    186,713.74x = 32,142,252,430.66
  5. Step 5: Solve for x
    x = 32,142,252,430.66/186,713.74
  6. Step 6: Final answer
    x = 172,147.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.