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Finding the Fourth Proportional to 156,774.96, 235,100.88 and 56,918.16

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Solution

The fourth proportional to 156,774.96, 235,100.88 and 56,918.16 is: 85,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,774.96 : 235,100.88 = 56,918.16 : x
  2. Step 2: Convert to fraction form
    156,774.96/235,100.88 = 56,918.16/x
  3. Step 3: Cross multiply
    156,774.96x = 235,100.88 × 56,918.16
  4. Step 4: Simplify right side
    156,774.96x = 13,381,509,503.98
  5. Step 5: Solve for x
    x = 13,381,509,503.98/156,774.96
  6. Step 6: Final answer
    x = 85,354.89

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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.