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Finding the Fourth Proportional to 224,905.71, 310,602.30 and 194,545.29

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Solution

The fourth proportional to 224,905.71, 310,602.30 and 194,545.29 is: 268,673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,905.71 : 310,602.30 = 194,545.29 : x
  2. Step 2: Convert to fraction form
    224,905.71/310,602.30 = 194,545.29/x
  3. Step 3: Cross multiply
    224,905.71x = 310,602.30 × 194,545.29
  4. Step 4: Simplify right side
    224,905.71x = 60,426,214,528.17
  5. Step 5: Solve for x
    x = 60,426,214,528.17/224,905.71
  6. Step 6: Final answer
    x = 268,673.55

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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.