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Finding the Fourth Proportional to 224,683.12, 310,189.26 and 155,872

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Solution

The fourth proportional to 224,683.12, 310,189.26 and 155,872 is: 215,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,683.12 : 310,189.26 = 155,872 : x
  2. Step 2: Convert to fraction form
    224,683.12/310,189.26 = 155,872/x
  3. Step 3: Cross multiply
    224,683.12x = 310,189.26 × 155,872
  4. Step 4: Simplify right side
    224,683.12x = 48,349,820,334.72
  5. Step 5: Solve for x
    x = 48,349,820,334.72/224,683.12
  6. Step 6: Final answer
    x = 215,191.16

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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.