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Finding the Fourth Proportional to 209,737.88, 314,574.35 and 115,014.81

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Solution

The fourth proportional to 209,737.88, 314,574.35 and 115,014.81 is: 172,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,737.88 : 314,574.35 = 115,014.81 : x
  2. Step 2: Convert to fraction form
    209,737.88/314,574.35 = 115,014.81/x
  3. Step 3: Cross multiply
    209,737.88x = 314,574.35 × 115,014.81
  4. Step 4: Simplify right side
    209,737.88x = 36,180,708,521.05
  5. Step 5: Solve for x
    x = 36,180,708,521.05/209,737.88
  6. Step 6: Final answer
    x = 172,504.41

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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.