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Finding the Fourth Proportional to 280,235.79, 420,577.85 and 147,194.51

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Solution

The fourth proportional to 280,235.79, 420,577.85 and 147,194.51 is: 220,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,235.79 : 420,577.85 = 147,194.51 : x
  2. Step 2: Convert to fraction form
    280,235.79/420,577.85 = 147,194.51/x
  3. Step 3: Cross multiply
    280,235.79x = 420,577.85 × 147,194.51
  4. Step 4: Simplify right side
    280,235.79x = 61,906,748,812.70
  5. Step 5: Solve for x
    x = 61,906,748,812.70/280,235.79
  6. Step 6: Final answer
    x = 220,909.50

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Why These Related Problems?

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