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Finding the Fourth Proportional to 152,778.30, 229,078.62 and 102,235.08

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Solution

The fourth proportional to 152,778.30, 229,078.62 and 102,235.08 is: 153,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,778.30 : 229,078.62 = 102,235.08 : x
  2. Step 2: Convert to fraction form
    152,778.30/229,078.62 = 102,235.08/x
  3. Step 3: Cross multiply
    152,778.30x = 229,078.62 × 102,235.08
  4. Step 4: Simplify right side
    152,778.30x = 23,419,871,041.99
  5. Step 5: Solve for x
    x = 23,419,871,041.99/152,778.30
  6. Step 6: Final answer
    x = 153,293.18

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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.