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Finding the Fourth Proportional to 156,835.98, 216,430.54 and 85,216.52

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Solution

The fourth proportional to 156,835.98, 216,430.54 and 85,216.52 is: 117,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,835.98 : 216,430.54 = 85,216.52 : x
  2. Step 2: Convert to fraction form
    156,835.98/216,430.54 = 85,216.52/x
  3. Step 3: Cross multiply
    156,835.98x = 216,430.54 × 85,216.52
  4. Step 4: Simplify right side
    156,835.98x = 18,443,457,440.52
  5. Step 5: Solve for x
    x = 18,443,457,440.52/156,835.98
  6. Step 6: Final answer
    x = 117,597.10

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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.