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Finding the Fourth Proportional to 224,998.77, 310,517.43 and 128,232.24

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Solution

The fourth proportional to 224,998.77, 310,517.43 and 128,232.24 is: 176,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,998.77 : 310,517.43 = 128,232.24 : x
  2. Step 2: Convert to fraction form
    224,998.77/310,517.43 = 128,232.24/x
  3. Step 3: Cross multiply
    224,998.77x = 310,517.43 × 128,232.24
  4. Step 4: Simplify right side
    224,998.77x = 39,818,345,607.94
  5. Step 5: Solve for x
    x = 39,818,345,607.94/224,998.77
  6. Step 6: Final answer
    x = 176,971.39

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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.