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Finding the Fourth Proportional to 280,101.70, 386,544.96 and 152,777.30

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Solution

The fourth proportional to 280,101.70, 386,544.96 and 152,777.30 is: 210,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,101.70 : 386,544.96 = 152,777.30 : x
  2. Step 2: Convert to fraction form
    280,101.70/386,544.96 = 152,777.30/x
  3. Step 3: Cross multiply
    280,101.70x = 386,544.96 × 152,777.30
  4. Step 4: Simplify right side
    280,101.70x = 59,055,296,283.77
  5. Step 5: Solve for x
    x = 59,055,296,283.77/280,101.70
  6. Step 6: Final answer
    x = 210,835.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.