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Finding the Fourth Proportional to 188,503.36, 282,763.68 and 133,345.60

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Solution

The fourth proportional to 188,503.36, 282,763.68 and 133,345.60 is: 200,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,503.36 : 282,763.68 = 133,345.60 : x
  2. Step 2: Convert to fraction form
    188,503.36/282,763.68 = 133,345.60/x
  3. Step 3: Cross multiply
    188,503.36x = 282,763.68 × 133,345.60
  4. Step 4: Simplify right side
    188,503.36x = 37,705,292,567.81
  5. Step 5: Solve for x
    x = 37,705,292,567.81/188,503.36
  6. Step 6: Final answer
    x = 200,024.51

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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.