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Finding the Fourth Proportional to 208,197.33, 312,411.48 and 101,582.19

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Solution

The fourth proportional to 208,197.33, 312,411.48 and 101,582.19 is: 152,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,197.33 : 312,411.48 = 101,582.19 : x
  2. Step 2: Convert to fraction form
    208,197.33/312,411.48 = 101,582.19/x
  3. Step 3: Cross multiply
    208,197.33x = 312,411.48 × 101,582.19
  4. Step 4: Simplify right side
    208,197.33x = 31,735,442,319.54
  5. Step 5: Solve for x
    x = 31,735,442,319.54/208,197.33
  6. Step 6: Final answer
    x = 152,429.63

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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.