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Finding the Fourth Proportional to 97,255, 134,211.90 and 52,543

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Solution

The fourth proportional to 97,255, 134,211.90 and 52,543 is: 72,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,255 : 134,211.90 = 52,543 : x
  2. Step 2: Convert to fraction form
    97,255/134,211.90 = 52,543/x
  3. Step 3: Cross multiply
    97,255x = 134,211.90 × 52,543
  4. Step 4: Simplify right side
    97,255x = 7,051,895,861.70
  5. Step 5: Solve for x
    x = 7,051,895,861.70/97,255
  6. Step 6: Final answer
    x = 72,509.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.