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Finding the Fourth Proportional to 156,782.80, 235,106.16 and 56,909.80

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Solution

The fourth proportional to 156,782.80, 235,106.16 and 56,909.80 is: 85,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782.80 : 235,106.16 = 56,909.80 : x
  2. Step 2: Convert to fraction form
    156,782.80/235,106.16 = 56,909.80/x
  3. Step 3: Cross multiply
    156,782.80x = 235,106.16 × 56,909.80
  4. Step 4: Simplify right side
    156,782.80x = 13,379,844,544.37
  5. Step 5: Solve for x
    x = 13,379,844,544.37/156,782.80
  6. Step 6: Final answer
    x = 85,340.00

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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.