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Finding the Fourth Proportional to 252,477.80, 378,206.40 and 157,416.20

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Solution

The fourth proportional to 252,477.80, 378,206.40 and 157,416.20 is: 235,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,477.80 : 378,206.40 = 157,416.20 : x
  2. Step 2: Convert to fraction form
    252,477.80/378,206.40 = 157,416.20/x
  3. Step 3: Cross multiply
    252,477.80x = 378,206.40 × 157,416.20
  4. Step 4: Simplify right side
    252,477.80x = 59,535,814,303.68
  5. Step 5: Solve for x
    x = 59,535,814,303.68/252,477.80
  6. Step 6: Final answer
    x = 235,806.14

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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.