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Finding the Fourth Proportional to 224,588.32, 309,923.76 and 123,984.16

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Solution

The fourth proportional to 224,588.32, 309,923.76 and 123,984.16 is: 171,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,588.32 : 309,923.76 = 123,984.16 : x
  2. Step 2: Convert to fraction form
    224,588.32/309,923.76 = 123,984.16/x
  3. Step 3: Cross multiply
    224,588.32x = 309,923.76 × 123,984.16
  4. Step 4: Simplify right side
    224,588.32x = 38,425,637,047.64
  5. Step 5: Solve for x
    x = 38,425,637,047.64/224,588.32
  6. Step 6: Final answer
    x = 171,093.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.