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Finding the Fourth Proportional to 238,009.76, 328,184.16 and 151,853.48

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Solution

The fourth proportional to 238,009.76, 328,184.16 and 151,853.48 is: 209,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,009.76 : 328,184.16 = 151,853.48 : x
  2. Step 2: Convert to fraction form
    238,009.76/328,184.16 = 151,853.48/x
  3. Step 3: Cross multiply
    238,009.76x = 328,184.16 × 151,853.48
  4. Step 4: Simplify right side
    238,009.76x = 49,835,906,776.88
  5. Step 5: Solve for x
    x = 49,835,906,776.88/238,009.76
  6. Step 6: Final answer
    x = 209,385.98

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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.