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Finding the Fourth Proportional to 224,623.30, 310,308.06 and 194,356.07

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Solution

The fourth proportional to 224,623.30, 310,308.06 and 194,356.07 is: 268,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,623.30 : 310,308.06 = 194,356.07 : x
  2. Step 2: Convert to fraction form
    224,623.30/310,308.06 = 194,356.07/x
  3. Step 3: Cross multiply
    224,623.30x = 310,308.06 × 194,356.07
  4. Step 4: Simplify right side
    224,623.30x = 60,310,255,030.92
  5. Step 5: Solve for x
    x = 60,310,255,030.92/224,623.30
  6. Step 6: Final answer
    x = 268,495.10

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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.