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Finding the Fourth Proportional to 168,123.14, 232,014.35 and 103,635

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Solution

The fourth proportional to 168,123.14, 232,014.35 and 103,635 is: 143,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,123.14 : 232,014.35 = 103,635 : x
  2. Step 2: Convert to fraction form
    168,123.14/232,014.35 = 103,635/x
  3. Step 3: Cross multiply
    168,123.14x = 232,014.35 × 103,635
  4. Step 4: Simplify right side
    168,123.14x = 24,044,807,162.25
  5. Step 5: Solve for x
    x = 24,044,807,162.25/168,123.14
  6. Step 6: Final answer
    x = 143,019.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.