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Finding the Fourth Proportional to 186,697.68, 257,647.92 and 114,112.32

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Solution

The fourth proportional to 186,697.68, 257,647.92 and 114,112.32 is: 157,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,697.68 : 257,647.92 = 114,112.32 : x
  2. Step 2: Convert to fraction form
    186,697.68/257,647.92 = 114,112.32/x
  3. Step 3: Cross multiply
    186,697.68x = 257,647.92 × 114,112.32
  4. Step 4: Simplify right side
    186,697.68x = 29,400,801,894.37
  5. Step 5: Solve for x
    x = 29,400,801,894.37/186,697.68
  6. Step 6: Final answer
    x = 157,478.13

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1.5x scale

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.