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Finding the Fourth Proportional to 259,393.64, 357,968.70 and 146,216.36

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Solution

The fourth proportional to 259,393.64, 357,968.70 and 146,216.36 is: 201,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,393.64 : 357,968.70 = 146,216.36 : x
  2. Step 2: Convert to fraction form
    259,393.64/357,968.70 = 146,216.36/x
  3. Step 3: Cross multiply
    259,393.64x = 357,968.70 × 146,216.36
  4. Step 4: Simplify right side
    259,393.64x = 52,340,880,307.93
  5. Step 5: Solve for x
    x = 52,340,880,307.93/259,393.64
  6. Step 6: Final answer
    x = 201,781.66

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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.