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Finding the Fourth Proportional to 156,656.70, 234,985.05 and 97,461.90

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Solution

The fourth proportional to 156,656.70, 234,985.05 and 97,461.90 is: 146,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,656.70 : 234,985.05 = 97,461.90 : x
  2. Step 2: Convert to fraction form
    156,656.70/234,985.05 = 97,461.90/x
  3. Step 3: Cross multiply
    156,656.70x = 234,985.05 × 97,461.90
  4. Step 4: Simplify right side
    156,656.70x = 22,902,089,444.60
  5. Step 5: Solve for x
    x = 22,902,089,444.60/156,656.70
  6. Step 6: Final answer
    x = 146,192.85

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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.