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Finding the Fourth Proportional to 186,819.64, 257,509.86 and 126,368.20

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Solution

The fourth proportional to 186,819.64, 257,509.86 and 126,368.20 is: 174,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,819.64 : 257,509.86 = 126,368.20 : x
  2. Step 2: Convert to fraction form
    186,819.64/257,509.86 = 126,368.20/x
  3. Step 3: Cross multiply
    186,819.64x = 257,509.86 × 126,368.20
  4. Step 4: Simplify right side
    186,819.64x = 32,541,057,490.45
  5. Step 5: Solve for x
    x = 32,541,057,490.45/186,819.64
  6. Step 6: Final answer
    x = 174,184.35

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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.