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Finding the Fourth Proportional to 101,967.29, 152,966.49 and 52,020.14

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Solution

The fourth proportional to 101,967.29, 152,966.49 and 52,020.14 is: 78,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,967.29 : 152,966.49 = 52,020.14 : x
  2. Step 2: Convert to fraction form
    101,967.29/152,966.49 = 52,020.14/x
  3. Step 3: Cross multiply
    101,967.29x = 152,966.49 × 52,020.14
  4. Step 4: Simplify right side
    101,967.29x = 7,957,338,225.11
  5. Step 5: Solve for x
    x = 7,957,338,225.11/101,967.29
  6. Step 6: Final answer
    x = 78,038.15

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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.