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Finding the Fourth Proportional to 97,253.25, 134,209.50 and 52,541.25

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Solution

The fourth proportional to 97,253.25, 134,209.50 and 52,541.25 is: 72,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,253.25 : 134,209.50 = 52,541.25 : x
  2. Step 2: Convert to fraction form
    97,253.25/134,209.50 = 52,541.25/x
  3. Step 3: Cross multiply
    97,253.25x = 134,209.50 × 52,541.25
  4. Step 4: Simplify right side
    97,253.25x = 7,051,534,891.88
  5. Step 5: Solve for x
    x = 7,051,534,891.88/97,253.25
  6. Step 6: Final answer
    x = 72,506.93

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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.