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Finding the Fourth Proportional to 150,335.66, 207,455.81 and 82,352.93

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Solution

The fourth proportional to 150,335.66, 207,455.81 and 82,352.93 is: 113,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,335.66 : 207,455.81 = 82,352.93 : x
  2. Step 2: Convert to fraction form
    150,335.66/207,455.81 = 82,352.93/x
  3. Step 3: Cross multiply
    150,335.66x = 207,455.81 × 82,352.93
  4. Step 4: Simplify right side
    150,335.66x = 17,084,592,349.98
  5. Step 5: Solve for x
    x = 17,084,592,349.98/150,335.66
  6. Step 6: Final answer
    x = 113,642.98

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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.