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Finding the Fourth Proportional to 209,497.32, 289,112.33 and 114,010.06

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Solution

The fourth proportional to 209,497.32, 289,112.33 and 114,010.06 is: 157,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,497.32 : 289,112.33 = 114,010.06 : x
  2. Step 2: Convert to fraction form
    209,497.32/289,112.33 = 114,010.06/x
  3. Step 3: Cross multiply
    209,497.32x = 289,112.33 × 114,010.06
  4. Step 4: Simplify right side
    209,497.32x = 32,961,714,090.04
  5. Step 5: Solve for x
    x = 32,961,714,090.04/209,497.32
  6. Step 6: Final answer
    x = 157,337.16

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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.