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Finding the Fourth Proportional to 101,967.19, 152,966.30 and 52,020.01

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Solution

The fourth proportional to 101,967.19, 152,966.30 and 52,020.01 is: 78,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,967.19 : 152,966.30 = 52,020.01 : x
  2. Step 2: Convert to fraction form
    101,967.19/152,966.30 = 52,020.01/x
  3. Step 3: Cross multiply
    101,967.19x = 152,966.30 × 52,020.01
  4. Step 4: Simplify right side
    101,967.19x = 7,957,307,813.15
  5. Step 5: Solve for x
    x = 7,957,307,813.15/101,967.19
  6. Step 6: Final answer
    x = 78,037.93

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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.