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Finding the Fourth Proportional to 152,793.81, 210,851.51 and 84,807.27

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Solution

The fourth proportional to 152,793.81, 210,851.51 and 84,807.27 is: 117,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,793.81 : 210,851.51 = 84,807.27 : x
  2. Step 2: Convert to fraction form
    152,793.81/210,851.51 = 84,807.27/x
  3. Step 3: Cross multiply
    152,793.81x = 210,851.51 × 84,807.27
  4. Step 4: Simplify right side
    152,793.81x = 17,881,740,514.44
  5. Step 5: Solve for x
    x = 17,881,740,514.44/152,793.81
  6. Step 6: Final answer
    x = 117,031.84

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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.