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Finding the Fourth Proportional to 150,271, 207,373.98 and 83,207.32

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Solution

The fourth proportional to 150,271, 207,373.98 and 83,207.32 is: 114,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,271 : 207,373.98 = 83,207.32 : x
  2. Step 2: Convert to fraction form
    150,271/207,373.98 = 83,207.32/x
  3. Step 3: Cross multiply
    150,271x = 207,373.98 × 83,207.32
  4. Step 4: Simplify right side
    150,271x = 17,255,033,113.53
  5. Step 5: Solve for x
    x = 17,255,033,113.53/150,271
  6. Step 6: Final answer
    x = 114,826.10

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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.