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Finding the Fourth Proportional to 188,572.48, 282,790.68 and 55,417.12

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Solution

The fourth proportional to 188,572.48, 282,790.68 and 55,417.12 is: 83,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,572.48 : 282,790.68 = 55,417.12 : x
  2. Step 2: Convert to fraction form
    188,572.48/282,790.68 = 55,417.12/x
  3. Step 3: Cross multiply
    188,572.48x = 282,790.68 × 55,417.12
  4. Step 4: Simplify right side
    188,572.48x = 15,671,445,048.44
  5. Step 5: Solve for x
    x = 15,671,445,048.44/188,572.48
  6. Step 6: Final answer
    x = 83,105.68

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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.