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Finding the Fourth Proportional to 280,116.60, 420,126.30 and 102,532.20

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Solution

The fourth proportional to 280,116.60, 420,126.30 and 102,532.20 is: 153,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,116.60 : 420,126.30 = 102,532.20 : x
  2. Step 2: Convert to fraction form
    280,116.60/420,126.30 = 102,532.20/x
  3. Step 3: Cross multiply
    280,116.60x = 420,126.30 × 102,532.20
  4. Step 4: Simplify right side
    280,116.60x = 43,076,473,816.86
  5. Step 5: Solve for x
    x = 43,076,473,816.86/280,116.60
  6. Step 6: Final answer
    x = 153,780.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.