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Finding the Fourth Proportional to 101,969.51, 153,047.64 and 52,084.58

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Solution

The fourth proportional to 101,969.51, 153,047.64 and 52,084.58 is: 78,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969.51 : 153,047.64 = 52,084.58 : x
  2. Step 2: Convert to fraction form
    101,969.51/153,047.64 = 52,084.58/x
  3. Step 3: Cross multiply
    101,969.51x = 153,047.64 × 52,084.58
  4. Step 4: Simplify right side
    101,969.51x = 7,971,421,284.15
  5. Step 5: Solve for x
    x = 7,971,421,284.15/101,969.51
  6. Step 6: Final answer
    x = 78,174.56

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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.