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Finding the Fourth Proportional to 152,783.70, 210,835.26 and 84,803.52

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Solution

The fourth proportional to 152,783.70, 210,835.26 and 84,803.52 is: 117,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,783.70 : 210,835.26 = 84,803.52 : x
  2. Step 2: Convert to fraction form
    152,783.70/210,835.26 = 84,803.52/x
  3. Step 3: Cross multiply
    152,783.70x = 210,835.26 × 84,803.52
  4. Step 4: Simplify right side
    152,783.70x = 17,879,572,188.12
  5. Step 5: Solve for x
    x = 17,879,572,188.12/152,783.70
  6. Step 6: Final answer
    x = 117,025.39

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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.