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Finding the Fourth Proportional to 280,051.60, 420,077.40 and 102,564.40

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Solution

The fourth proportional to 280,051.60, 420,077.40 and 102,564.40 is: 153,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,051.60 : 420,077.40 = 102,564.40 : x
  2. Step 2: Convert to fraction form
    280,051.60/420,077.40 = 102,564.40/x
  3. Step 3: Cross multiply
    280,051.60x = 420,077.40 × 102,564.40
  4. Step 4: Simplify right side
    280,051.60x = 43,084,986,484.56
  5. Step 5: Solve for x
    x = 43,084,986,484.56/280,051.60
  6. Step 6: Final answer
    x = 153,846.60

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1.5x scale

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.