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Finding the Fourth Proportional to 152,794.40, 210,833.80 and 84,811.88

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Solution

The fourth proportional to 152,794.40, 210,833.80 and 84,811.88 is: 117,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,794.40 : 210,833.80 = 84,811.88 : x
  2. Step 2: Convert to fraction form
    152,794.40/210,833.80 = 84,811.88/x
  3. Step 3: Cross multiply
    152,794.40x = 210,833.80 × 84,811.88
  4. Step 4: Simplify right side
    152,794.40x = 17,881,210,521.48
  5. Step 5: Solve for x
    x = 17,881,210,521.48/152,794.40
  6. Step 6: Final answer
    x = 117,027.92

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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.