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Finding the Fourth Proportional to 205,048.40, 307,572.60 and 188,459.60

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Solution

The fourth proportional to 205,048.40, 307,572.60 and 188,459.60 is: 282,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,048.40 : 307,572.60 = 188,459.60 : x
  2. Step 2: Convert to fraction form
    205,048.40/307,572.60 = 188,459.60/x
  3. Step 3: Cross multiply
    205,048.40x = 307,572.60 × 188,459.60
  4. Step 4: Simplify right side
    205,048.40x = 57,965,009,166.96
  5. Step 5: Solve for x
    x = 57,965,009,166.96/205,048.40
  6. Step 6: Final answer
    x = 282,689.40

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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.