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Finding the Fourth Proportional to 156,937.60, 235,406.40 and 97,013.80

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Solution

The fourth proportional to 156,937.60, 235,406.40 and 97,013.80 is: 145,520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,937.60 : 235,406.40 = 97,013.80 : x
  2. Step 2: Convert to fraction form
    156,937.60/235,406.40 = 97,013.80/x
  3. Step 3: Cross multiply
    156,937.60x = 235,406.40 × 97,013.80
  4. Step 4: Simplify right side
    156,937.60x = 22,837,669,408.32
  5. Step 5: Solve for x
    x = 22,837,669,408.32/156,937.60
  6. Step 6: Final answer
    x = 145,520.70

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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.