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Finding the Fourth Proportional to 224,853.17, 310,309.38 and 129,374.42

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Solution

The fourth proportional to 224,853.17, 310,309.38 and 129,374.42 is: 178,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,853.17 : 310,309.38 = 129,374.42 : x
  2. Step 2: Convert to fraction form
    224,853.17/310,309.38 = 129,374.42/x
  3. Step 3: Cross multiply
    224,853.17x = 310,309.38 × 129,374.42
  4. Step 4: Simplify right side
    224,853.17x = 40,146,094,506.51
  5. Step 5: Solve for x
    x = 40,146,094,506.51/224,853.17
  6. Step 6: Final answer
    x = 178,543.60

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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.