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Finding the Fourth Proportional to 186,124.64, 256,832.16 and 109,639.22

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Solution

The fourth proportional to 186,124.64, 256,832.16 and 109,639.22 is: 151,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,124.64 : 256,832.16 = 109,639.22 : x
  2. Step 2: Convert to fraction form
    186,124.64/256,832.16 = 109,639.22/x
  3. Step 3: Cross multiply
    186,124.64x = 256,832.16 × 109,639.22
  4. Step 4: Simplify right side
    186,124.64x = 28,158,877,693.32
  5. Step 5: Solve for x
    x = 28,158,877,693.32/186,124.64
  6. Step 6: Final answer
    x = 151,290.43

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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.