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Finding the Fourth Proportional to 280,077.84, 420,359.40 and 147,052.08

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Solution

The fourth proportional to 280,077.84, 420,359.40 and 147,052.08 is: 220,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,077.84 : 420,359.40 = 147,052.08 : x
  2. Step 2: Convert to fraction form
    280,077.84/420,359.40 = 147,052.08/x
  3. Step 3: Cross multiply
    280,077.84x = 420,359.40 × 147,052.08
  4. Step 4: Simplify right side
    280,077.84x = 61,814,724,117.55
  5. Step 5: Solve for x
    x = 61,814,724,117.55/280,077.84
  6. Step 6: Final answer
    x = 220,705.52

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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.