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Finding the Fourth Proportional to 238,104, 328,686.02 and 146,238.18

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Solution

The fourth proportional to 238,104, 328,686.02 and 146,238.18 is: 201,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,104 : 328,686.02 = 146,238.18 : x
  2. Step 2: Convert to fraction form
    238,104/328,686.02 = 146,238.18/x
  3. Step 3: Cross multiply
    238,104x = 328,686.02 × 146,238.18
  4. Step 4: Simplify right side
    238,104x = 48,066,445,356.24
  5. Step 5: Solve for x
    x = 48,066,445,356.24/238,104
  6. Step 6: Final answer
    x = 201,871.64

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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.