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Finding the Fourth Proportional to 259,666.32, 358,356.24 and 146,486.64

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Solution

The fourth proportional to 259,666.32, 358,356.24 and 146,486.64 is: 202,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,666.32 : 358,356.24 = 146,486.64 : x
  2. Step 2: Convert to fraction form
    259,666.32/358,356.24 = 146,486.64/x
  3. Step 3: Cross multiply
    259,666.32x = 358,356.24 × 146,486.64
  4. Step 4: Simplify right side
    259,666.32x = 52,494,401,520.63
  5. Step 5: Solve for x
    x = 52,494,401,520.63/259,666.32
  6. Step 6: Final answer
    x = 202,160.99

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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.