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Finding the Fourth Proportional to 185,774.04, 256,433.58 and 110,322

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Solution

The fourth proportional to 185,774.04, 256,433.58 and 110,322 is: 152,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,774.04 : 256,433.58 = 110,322 : x
  2. Step 2: Convert to fraction form
    185,774.04/256,433.58 = 110,322/x
  3. Step 3: Cross multiply
    185,774.04x = 256,433.58 × 110,322
  4. Step 4: Simplify right side
    185,774.04x = 28,290,265,412.76
  5. Step 5: Solve for x
    x = 28,290,265,412.76/185,774.04
  6. Step 6: Final answer
    x = 152,283.20

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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.