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Finding the Fourth Proportional to 156,655.80, 234,983.70 and 77,923.80

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Solution

The fourth proportional to 156,655.80, 234,983.70 and 77,923.80 is: 116,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,655.80 : 234,983.70 = 77,923.80 : x
  2. Step 2: Convert to fraction form
    156,655.80/234,983.70 = 77,923.80/x
  3. Step 3: Cross multiply
    156,655.80x = 234,983.70 × 77,923.80
  4. Step 4: Simplify right side
    156,655.80x = 18,310,822,842.06
  5. Step 5: Solve for x
    x = 18,310,822,842.06/156,655.80
  6. Step 6: Final answer
    x = 116,885.70

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1.5x scale

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.