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Finding the Fourth Proportional to 157,946.20, 236,573.70 and 137,210.20

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Solution

The fourth proportional to 157,946.20, 236,573.70 and 137,210.20 is: 205,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,946.20 : 236,573.70 = 137,210.20 : x
  2. Step 2: Convert to fraction form
    157,946.20/236,573.70 = 137,210.20/x
  3. Step 3: Cross multiply
    157,946.20x = 236,573.70 × 137,210.20
  4. Step 4: Simplify right side
    157,946.20x = 32,460,324,691.74
  5. Step 5: Solve for x
    x = 32,460,324,691.74/157,946.20
  6. Step 6: Final answer
    x = 205,515.07

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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.