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Finding the Fourth Proportional to 97,213, 134,153.94 and 52,501

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Solution

The fourth proportional to 97,213, 134,153.94 and 52,501 is: 72,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,213 : 134,153.94 = 52,501 : x
  2. Step 2: Convert to fraction form
    97,213/134,153.94 = 52,501/x
  3. Step 3: Cross multiply
    97,213x = 134,153.94 × 52,501
  4. Step 4: Simplify right side
    97,213x = 7,043,216,003.94
  5. Step 5: Solve for x
    x = 7,043,216,003.94/97,213
  6. Step 6: Final answer
    x = 72,451.38

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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.