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Finding the Fourth Proportional to 101,347.16, 152,021.10 and 59,765

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Solution

The fourth proportional to 101,347.16, 152,021.10 and 59,765 is: 89,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,347.16 : 152,021.10 = 59,765 : x
  2. Step 2: Convert to fraction form
    101,347.16/152,021.10 = 59,765/x
  3. Step 3: Cross multiply
    101,347.16x = 152,021.10 × 59,765
  4. Step 4: Simplify right side
    101,347.16x = 9,085,541,041.50
  5. Step 5: Solve for x
    x = 9,085,541,041.50/101,347.16
  6. Step 6: Final answer
    x = 89,647.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.