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Finding the Fourth Proportional to 137,222.14, 205,833.21 and 38,726.14

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Solution

The fourth proportional to 137,222.14, 205,833.21 and 38,726.14 is: 58,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,222.14 : 205,833.21 = 38,726.14 : x
  2. Step 2: Convert to fraction form
    137,222.14/205,833.21 = 38,726.14/x
  3. Step 3: Cross multiply
    137,222.14x = 205,833.21 × 38,726.14
  4. Step 4: Simplify right side
    137,222.14x = 7,971,125,707.11
  5. Step 5: Solve for x
    x = 7,971,125,707.11/137,222.14
  6. Step 6: Final answer
    x = 58,089.21

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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.