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Finding the Fourth Proportional to 238,104.63, 328,686.88 and 146,238.80

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Solution

The fourth proportional to 238,104.63, 328,686.88 and 146,238.80 is: 201,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,104.63 : 328,686.88 = 146,238.80 : x
  2. Step 2: Convert to fraction form
    238,104.63/328,686.88 = 146,238.80/x
  3. Step 3: Cross multiply
    238,104.63x = 328,686.88 × 146,238.80
  4. Step 4: Simplify right side
    238,104.63x = 48,066,772,897.91
  5. Step 5: Solve for x
    x = 48,066,772,897.91/238,104.63
  6. Step 6: Final answer
    x = 201,872.48

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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.