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Finding the Fourth Proportional to 151,648.40, 227,521.20 and 101,784.80

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Solution

The fourth proportional to 151,648.40, 227,521.20 and 101,784.80 is: 152,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,648.40 : 227,521.20 = 101,784.80 : x
  2. Step 2: Convert to fraction form
    151,648.40/227,521.20 = 101,784.80/x
  3. Step 3: Cross multiply
    151,648.40x = 227,521.20 × 101,784.80
  4. Step 4: Simplify right side
    151,648.40x = 23,158,199,837.76
  5. Step 5: Solve for x
    x = 23,158,199,837.76/151,648.40
  6. Step 6: Final answer
    x = 152,709.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.