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Finding the Fourth Proportional to 254,098.12, 350,599.32 and 146,645.32

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Solution

The fourth proportional to 254,098.12, 350,599.32 and 146,645.32 is: 202,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,098.12 : 350,599.32 = 146,645.32 : x
  2. Step 2: Convert to fraction form
    254,098.12/350,599.32 = 146,645.32/x
  3. Step 3: Cross multiply
    254,098.12x = 350,599.32 × 146,645.32
  4. Step 4: Simplify right side
    254,098.12x = 51,413,749,473.18
  5. Step 5: Solve for x
    x = 51,413,749,473.18/254,098.12
  6. Step 6: Final answer
    x = 202,338.17

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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.