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Finding the Fourth Proportional to 205,301.60, 307,952.40 and 150,005.60

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Solution

The fourth proportional to 205,301.60, 307,952.40 and 150,005.60 is: 225,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,301.60 : 307,952.40 = 150,005.60 : x
  2. Step 2: Convert to fraction form
    205,301.60/307,952.40 = 150,005.60/x
  3. Step 3: Cross multiply
    205,301.60x = 307,952.40 × 150,005.60
  4. Step 4: Simplify right side
    205,301.60x = 46,194,584,533.44
  5. Step 5: Solve for x
    x = 46,194,584,533.44/205,301.60
  6. Step 6: Final answer
    x = 225,008.40

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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.