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Finding the Fourth Proportional to 224,634, 309,742.20 and 183,670.32

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Solution

The fourth proportional to 224,634, 309,742.20 and 183,670.32 is: 253,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,634 : 309,742.20 = 183,670.32 : x
  2. Step 2: Convert to fraction form
    224,634/309,742.20 = 183,670.32/x
  3. Step 3: Cross multiply
    224,634x = 309,742.20 × 183,670.32
  4. Step 4: Simplify right side
    224,634x = 56,890,448,991.50
  5. Step 5: Solve for x
    x = 56,890,448,991.50/224,634
  6. Step 6: Final answer
    x = 253,258.41

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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.