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Finding the Fourth Proportional to 156,667.80, 235,001.70 and 77,935.80

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Solution

The fourth proportional to 156,667.80, 235,001.70 and 77,935.80 is: 116,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,667.80 : 235,001.70 = 77,935.80 : x
  2. Step 2: Convert to fraction form
    156,667.80/235,001.70 = 77,935.80/x
  3. Step 3: Cross multiply
    156,667.80x = 235,001.70 × 77,935.80
  4. Step 4: Simplify right side
    156,667.80x = 18,315,045,490.86
  5. Step 5: Solve for x
    x = 18,315,045,490.86/156,667.80
  6. Step 6: Final answer
    x = 116,903.70

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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.