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Finding the Fourth Proportional to 232,011, 320,159.88 and 136,499.16

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Solution

The fourth proportional to 232,011, 320,159.88 and 136,499.16 is: 188,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,011 : 320,159.88 = 136,499.16 : x
  2. Step 2: Convert to fraction form
    232,011/320,159.88 = 136,499.16/x
  3. Step 3: Cross multiply
    232,011x = 320,159.88 × 136,499.16
  4. Step 4: Simplify right side
    232,011x = 43,701,554,685.70
  5. Step 5: Solve for x
    x = 43,701,554,685.70/232,011
  6. Step 6: Final answer
    x = 188,359.84

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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.