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Finding the Fourth Proportional to 151,761.65, 209,416.11 and 83,774.22

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Solution

The fourth proportional to 151,761.65, 209,416.11 and 83,774.22 is: 115,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,761.65 : 209,416.11 = 83,774.22 : x
  2. Step 2: Convert to fraction form
    151,761.65/209,416.11 = 83,774.22/x
  3. Step 3: Cross multiply
    151,761.65x = 209,416.11 × 83,774.22
  4. Step 4: Simplify right side
    151,761.65x = 17,543,671,270.68
  5. Step 5: Solve for x
    x = 17,543,671,270.68/151,761.65
  6. Step 6: Final answer
    x = 115,600.17

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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.